{"id":541430,"date":"2021-09-27T07:54:18","date_gmt":"2021-09-27T07:54:18","guid":{"rendered":"https:\/\/www.indcareer.com\/schools\/?p=541430"},"modified":"2022-12-26T09:31:59","modified_gmt":"2022-12-26T09:31:59","slug":"rd-sharma-solutions-for-class-12-maths-chapter-11-differentiation","status":"publish","type":"post","link":"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-11-differentiation\/","title":{"rendered":"RD Sharma Solutions for Class 12 Maths Chapter 11\u2013Differentiation"},"content":{"rendered":"\n<p><meta http-equiv=\"content-type\" content=\"text\/html; charset=utf-8\">Class 12: Maths Chapter 11 solutions. Complete Class 12 Maths Chapter 11 Notes.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-rd-sharma-solutions-for-class-12-maths-chapter-11-differentiation\">RD Sharma Solutions for Class 12 Maths Chapter 11\u2013Differentiation<\/h2>\n\n\n\n<p><meta http-equiv=\"content-type\" content=\"text\/html; charset=utf-8\">RD Sharma 12th Maths Chapter 11, Class 12 Maths Chapter 11 solutions<\/p>\n\n\n\n<p>Exercise 11.1 Page No: 11.17<\/p>\n\n\n\n<p><strong>Differentiate the following functions from the first principles:<\/strong><\/p>\n\n\n\n<p><strong>1. e<sup>-x<\/sup><\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"523\" height=\"418\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-1.png\" alt=\"\" class=\"wp-image-541436\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-1.png 523w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-1-300x240.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-1-400x320.png 400w\" sizes=\"auto, (max-width: 523px) 100vw, 523px\" \/><\/figure>\n\n\n\n<p><strong>2. e<sup>3x<\/sup><\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"523\" height=\"166\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-2.png\" alt=\"\" class=\"wp-image-541437\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-2.png 523w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-2-300x95.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-2-400x127.png 400w\" sizes=\"auto, (max-width: 523px) 100vw, 523px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"176\" height=\"257\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-3.png\" alt=\"\" class=\"wp-image-541438\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>3. e<sup>ax + b<\/sup><\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"543\" height=\"368\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-4.png\" alt=\"\" class=\"wp-image-541439\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-4.png 543w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-4-300x203.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-4-400x271.png 400w\" sizes=\"auto, (max-width: 543px) 100vw, 543px\" \/><\/figure>\n\n\n\n<p><strong>4. e<sup>cos x<\/sup><\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>We have to find the derivative of e<sup>cos<\/sup>&nbsp;<sup>x<\/sup>&nbsp;with the first principle method,<\/p>\n\n\n\n<p>So, let f (x) = e<sup>cos<\/sup>&nbsp;<sup>x<\/sup><\/p>\n\n\n\n<p>By using the first principle formula, we get,<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"408\" height=\"605\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-5-1.png\" alt=\"\" class=\"wp-image-541441\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-5-1.png 408w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-5-1-202x300.png 202w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-5-1-400x593.png 400w\" sizes=\"auto, (max-width: 408px) 100vw, 408px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"320\" height=\"107\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-6.png\" alt=\"\" class=\"wp-image-541442\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-6.png 320w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-6-300x100.png 300w\" sizes=\"auto, (max-width: 320px) 100vw, 320px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"57\" height=\"18\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-7.gif\" alt=\"\" class=\"wp-image-541443\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"537\" height=\"616\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-8.png\" alt=\"\" class=\"wp-image-541444\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-8.png 537w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-8-262x300.png 262w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-8-400x459.png 400w\" sizes=\"auto, (max-width: 537px) 100vw, 537px\" \/><\/figure>\n\n\n\n<p>Exercise 11.2 Page No: 11.37<\/p>\n\n\n\n<p><strong>Differentiate the following functions with respect to x:<\/strong><\/p>\n\n\n\n<p><strong>1. Sin (3x + 5)<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Given Sin (3x + 5)<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"416\" height=\"549\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-9.png\" alt=\"\" class=\"wp-image-541445\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-9.png 416w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-9-227x300.png 227w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-9-400x528.png 400w\" sizes=\"auto, (max-width: 416px) 100vw, 416px\" \/><\/figure>\n\n\n\n<p><strong>2. tan<sup>2<\/sup>&nbsp;x<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Given tan<sup>2<\/sup>&nbsp;x<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"359\" height=\"502\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-10.png\" alt=\"\" class=\"wp-image-541446\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-10.png 359w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-10-215x300.png 215w\" sizes=\"auto, (max-width: 359px) 100vw, 359px\" \/><\/figure>\n\n\n\n<p><strong>3. tan (x<sup>o<\/sup>&nbsp;+ 45<sup>o<\/sup>)<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Let y =&nbsp;tan (x\u00b0 + 45\u00b0)<\/p>\n\n\n\n<p>First, we will convert the angle from degrees to radians.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"439\" height=\"181\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-11.png\" alt=\"\" class=\"wp-image-541447\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-11.png 439w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-11-300x124.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-11-400x165.png 400w\" sizes=\"auto, (max-width: 439px) 100vw, 439px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"410\" height=\"530\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-12.png\" alt=\"\" class=\"wp-image-541448\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-12.png 410w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-12-232x300.png 232w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-12-400x517.png 400w\" sizes=\"auto, (max-width: 410px) 100vw, 410px\" \/><\/figure>\n\n\n\n<p><strong>4. Sin (log x)<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Given sin (log x)<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"354\" height=\"176\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-13.png\" alt=\"\" class=\"wp-image-541449\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-13.png 354w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-13-300x149.png 300w\" sizes=\"auto, (max-width: 354px) 100vw, 354px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"351\" height=\"272\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-14.png\" alt=\"\" class=\"wp-image-541450\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-14.png 351w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-14-300x232.png 300w\" sizes=\"auto, (max-width: 351px) 100vw, 351px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"72\" height=\"17\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-15.gif\" alt=\"\" class=\"wp-image-541451\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"379\" height=\"445\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-16.png\" alt=\"\" class=\"wp-image-541452\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-16.png 379w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-16-256x300.png 256w\" sizes=\"auto, (max-width: 379px) 100vw, 379px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"280\" height=\"218\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-17.png\" alt=\"\" class=\"wp-image-541453\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>6. e<sup>tan x<\/sup><\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"353\" height=\"389\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-18.png\" alt=\"\" class=\"wp-image-541454\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-18.png 353w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-18-272x300.png 272w\" sizes=\"auto, (max-width: 353px) 100vw, 353px\" \/><\/figure>\n\n\n\n<p><strong>7. Sin<sup>2<\/sup>&nbsp;(2x + 1)<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Let y =&nbsp;sin<sup>2&nbsp;<\/sup>(2x + 1)<\/p>\n\n\n\n<p>On differentiating y with respect to x, we get<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"306\" height=\"103\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-20.png\" alt=\"\" class=\"wp-image-541457\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-20.png 306w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-20-300x101.png 300w\" sizes=\"auto, (max-width: 306px) 100vw, 306px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"306\" height=\"103\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-20-1.png\" alt=\"\" class=\"wp-image-541458\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-20-1.png 306w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-20-1-300x101.png 300w\" sizes=\"auto, (max-width: 306px) 100vw, 306px\" \/><\/figure>\n\n\n\n<p><strong>8. log<sub>7<\/sub>&nbsp;(2x \u2013 3)<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"440\" height=\"625\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-21.png\" alt=\"\" class=\"wp-image-541456\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-21.png 440w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-21-211x300.png 211w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-21-400x568.png 400w\" sizes=\"auto, (max-width: 440px) 100vw, 440px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"279\" height=\"171\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-22.png\" alt=\"\" class=\"wp-image-541459\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>9. tan 5x<sup>o<\/sup><\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Let y =&nbsp;tan (5x\u00b0)<\/p>\n\n\n\n<p>First, we will convert the angle from degrees to radians. We have<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"351\" height=\"655\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-23.png\" alt=\"\" class=\"wp-image-541460\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-23.png 351w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-23-161x300.png 161w\" sizes=\"auto, (max-width: 351px) 100vw, 351px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"54\" height=\"17\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/word-image6.gif\" alt=\"\" class=\"wp-image-541461\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"363\" height=\"541\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-25.png\" alt=\"\" class=\"wp-image-541462\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-25.png 363w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-25-201x300.png 201w\" sizes=\"auto, (max-width: 363px) 100vw, 363px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"53\" height=\"15\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/word-image6-1.gif\" alt=\"\" class=\"wp-image-541463\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"347\" height=\"222\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-27.png\" alt=\"\" class=\"wp-image-541464\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-27.png 347w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-27-300x192.png 300w\" sizes=\"auto, (max-width: 347px) 100vw, 347px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"215\" height=\"263\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-28.png\" alt=\"\" class=\"wp-image-541465\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>12. log<sub>x<\/sub>&nbsp;3<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"348\" height=\"434\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-29.png\" alt=\"\" class=\"wp-image-541466\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-29.png 348w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-29-241x300.png 241w\" sizes=\"auto, (max-width: 348px) 100vw, 348px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"392\" height=\"655\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-30.png\" alt=\"\" class=\"wp-image-541467\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-30.png 392w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-30-180x300.png 180w\" sizes=\"auto, (max-width: 392px) 100vw, 392px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"82\" height=\"17\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-31.gif\" alt=\"\" class=\"wp-image-541468\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"350\" height=\"79\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-32.png\" alt=\"\" class=\"wp-image-541469\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-32.png 350w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-32-300x68.png 300w\" sizes=\"auto, (max-width: 350px) 100vw, 350px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"344\" height=\"570\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-33.png\" alt=\"\" class=\"wp-image-541470\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-33.png 344w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-33-181x300.png 181w\" sizes=\"auto, (max-width: 344px) 100vw, 344px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"117\" height=\"56\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-34.gif\" alt=\"\" class=\"wp-image-541471\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"352\" height=\"93\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-35.png\" alt=\"\" class=\"wp-image-541472\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-35.png 352w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-35-300x79.png 300w\" sizes=\"auto, (max-width: 352px) 100vw, 352px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"565\" height=\"521\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-36.png\" alt=\"\" class=\"wp-image-541473\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-36.png 565w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-36-300x277.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-36-400x369.png 400w\" sizes=\"auto, (max-width: 565px) 100vw, 565px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"631\" height=\"274\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-37.png\" alt=\"\" class=\"wp-image-541474\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-37.png 631w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-37-300x130.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-37-400x174.png 400w\" sizes=\"auto, (max-width: 631px) 100vw, 631px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"463\" height=\"656\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-38.png\" alt=\"\" class=\"wp-image-541475\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-38.png 463w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-38-212x300.png 212w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-38-400x567.png 400w\" sizes=\"auto, (max-width: 463px) 100vw, 463px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"75\" height=\"16\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-39.gif\" alt=\"\" class=\"wp-image-541476\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"351\" height=\"70\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-40.png\" alt=\"\" class=\"wp-image-541477\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-40.png 351w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-40-300x60.png 300w\" sizes=\"auto, (max-width: 351px) 100vw, 351px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"397\" height=\"592\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-41.png\" alt=\"\" class=\"wp-image-541478\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-41.png 397w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-41-201x300.png 201w\" sizes=\"auto, (max-width: 397px) 100vw, 397px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"129\" height=\"56\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-42.gif\" alt=\"\" class=\"wp-image-541479\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"351\" height=\"97\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-43.png\" alt=\"\" class=\"wp-image-541480\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-43.png 351w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-43-300x83.png 300w\" sizes=\"auto, (max-width: 351px) 100vw, 351px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"618\" height=\"564\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-44.png\" alt=\"\" class=\"wp-image-541481\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-44.png 618w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-44-300x274.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-44-400x365.png 400w\" sizes=\"auto, (max-width: 618px) 100vw, 618px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"671\" height=\"250\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-45.png\" alt=\"\" class=\"wp-image-541482\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-45.png 671w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-45-300x112.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-45-400x149.png 400w\" sizes=\"auto, (max-width: 671px) 100vw, 671px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"470\" height=\"636\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-46.png\" alt=\"\" class=\"wp-image-541483\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-46.png 470w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-46-222x300.png 222w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-46-400x541.png 400w\" sizes=\"auto, (max-width: 470px) 100vw, 470px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"326\" height=\"177\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-47.png\" alt=\"\" class=\"wp-image-541484\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-47.png 326w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-47-300x163.png 300w\" sizes=\"auto, (max-width: 326px) 100vw, 326px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"329\" height=\"571\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-48.png\" alt=\"\" class=\"wp-image-541485\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-48.png 329w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-48-173x300.png 173w\" sizes=\"auto, (max-width: 329px) 100vw, 329px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"107\" height=\"56\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-49.gif\" alt=\"\" class=\"wp-image-541486\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"362\" height=\"102\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-50.png\" alt=\"\" class=\"wp-image-541487\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-50.png 362w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-50-300x85.png 300w\" sizes=\"auto, (max-width: 362px) 100vw, 362px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"529\" height=\"523\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-51.png\" alt=\"\" class=\"wp-image-541488\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-51.png 529w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-51-300x297.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-51-400x395.png 400w\" sizes=\"auto, (max-width: 529px) 100vw, 529px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"585\" height=\"276\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-52.png\" alt=\"\" class=\"wp-image-541489\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-52.png 585w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-52-300x142.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-52-400x189.png 400w\" sizes=\"auto, (max-width: 585px) 100vw, 585px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"432\" height=\"600\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-53.png\" alt=\"\" class=\"wp-image-541490\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-53.png 432w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-53-216x300.png 216w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-53-400x556.png 400w\" sizes=\"auto, (max-width: 432px) 100vw, 432px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"246\" height=\"132\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-54.png\" alt=\"\" class=\"wp-image-541491\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>18. (log sin x)<sup>2<\/sup><\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Let y =&nbsp;(log sin x)<sup>2<\/sup><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"365\" height=\"643\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-55.png\" alt=\"\" class=\"wp-image-541492\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-55.png 365w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-55-170x300.png 170w\" sizes=\"auto, (max-width: 365px) 100vw, 365px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"329\" height=\"97\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-56.png\" alt=\"\" class=\"wp-image-541493\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-56.png 329w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-56-300x88.png 300w\" sizes=\"auto, (max-width: 329px) 100vw, 329px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"99\" height=\"56\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-57.gif\" alt=\"\" class=\"wp-image-541494\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"485\" height=\"600\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-58.png\" alt=\"\" class=\"wp-image-541495\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-58.png 485w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-58-243x300.png 243w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-58-400x495.png 400w\" sizes=\"auto, (max-width: 485px) 100vw, 485px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"585\" height=\"159\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-59.png\" alt=\"\" class=\"wp-image-541496\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-59.png 585w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-59-300x82.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-59-400x109.png 400w\" sizes=\"auto, (max-width: 585px) 100vw, 585px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"421\" height=\"585\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-60.png\" alt=\"\" class=\"wp-image-541497\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-60.png 421w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-60-216x300.png 216w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-60-400x556.png 400w\" sizes=\"auto, (max-width: 421px) 100vw, 421px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"233\" height=\"133\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-61.png\" alt=\"\" class=\"wp-image-541498\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"146\" height=\"48\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-62.gif\" alt=\"\" class=\"wp-image-541499\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"628\" height=\"654\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-63.png\" alt=\"\" class=\"wp-image-541500\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-63.png 628w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-63-288x300.png 288w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-63-400x417.png 400w\" sizes=\"auto, (max-width: 628px) 100vw, 628px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"471\" height=\"124\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-64.png\" alt=\"\" class=\"wp-image-541501\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-64.png 471w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-64-300x79.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-64-400x105.png 400w\" sizes=\"auto, (max-width: 471px) 100vw, 471px\" \/><\/figure>\n\n\n\n\n\n<p><strong>21. e<sup>3x<\/sup>&nbsp;cos 2x<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"401\" height=\"407\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-66.png\" alt=\"\" class=\"wp-image-541502\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-66.png 401w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-66-296x300.png 296w\" sizes=\"auto, (max-width: 401px) 100vw, 401px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"391\" height=\"440\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-67.png\" alt=\"\" class=\"wp-image-541503\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-67.png 391w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-67-267x300.png 267w\" sizes=\"auto, (max-width: 391px) 100vw, 391px\" \/><\/figure>\n\n\n\n<p><strong>22. Sin (log sin x)<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"353\" height=\"306\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-68.png\" alt=\"\" class=\"wp-image-541504\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-68.png 353w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-68-300x260.png 300w\" sizes=\"auto, (max-width: 353px) 100vw, 353px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"399\" height=\"401\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-69.png\" alt=\"\" class=\"wp-image-541505\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-69.png 399w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-69-150x150.png 150w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-69-200x200.png 200w\" sizes=\"auto, (max-width: 399px) 100vw, 399px\" \/><\/figure>\n\n\n\n<p><strong>23. e<sup>tan 3x<\/sup><\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"351\" height=\"351\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-70.png\" alt=\"\" class=\"wp-image-541506\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-70.png 351w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-70-300x300.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-70-150x150.png 150w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-70-200x200.png 200w\" sizes=\"auto, (max-width: 351px) 100vw, 351px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"270\" height=\"319\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-71.png\" alt=\"\" class=\"wp-image-541507\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-71.png 270w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-71-254x300.png 254w\" sizes=\"auto, (max-width: 270px) 100vw, 270px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"81\" height=\"19\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-72.gif\" alt=\"\" class=\"wp-image-541508\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"349\" height=\"414\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-73.png\" alt=\"\" class=\"wp-image-541509\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-73.png 349w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-73-253x300.png 253w\" sizes=\"auto, (max-width: 349px) 100vw, 349px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"296\" height=\"410\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-74.png\" alt=\"\" class=\"wp-image-541510\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-74.png 296w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-74-217x300.png 217w\" sizes=\"auto, (max-width: 296px) 100vw, 296px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"165\" height=\"45\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-75.gif\" alt=\"\" class=\"wp-image-541511\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"401\" height=\"250\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-76.png\" alt=\"\" class=\"wp-image-541512\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-76.png 401w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-76-300x187.png 300w\" sizes=\"auto, (max-width: 401px) 100vw, 401px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"350\" height=\"644\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-77.png\" alt=\"\" class=\"wp-image-541513\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-77.png 350w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-77-163x300.png 163w\" sizes=\"auto, (max-width: 350px) 100vw, 350px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"212\" height=\"200\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-78.png\" alt=\"\" class=\"wp-image-541514\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"273\" height=\"217\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-79.png\" alt=\"\" class=\"wp-image-541515\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"157\" height=\"56\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-80.gif\" alt=\"\" class=\"wp-image-541516\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"353\" height=\"427\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-81.png\" alt=\"\" class=\"wp-image-541517\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-81.png 353w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-81-248x300.png 248w\" sizes=\"auto, (max-width: 353px) 100vw, 353px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"593\" height=\"557\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-82.png\" alt=\"\" class=\"wp-image-541518\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-82.png 593w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-82-300x282.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-82-400x376.png 400w\" sizes=\"auto, (max-width: 593px) 100vw, 593px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"673\" height=\"265\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-83.png\" alt=\"\" class=\"wp-image-541519\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-83.png 673w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-83-300x118.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-83-400x158.png 400w\" sizes=\"auto, (max-width: 673px) 100vw, 673px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"447\" height=\"515\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-84.png\" alt=\"\" class=\"wp-image-541520\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-84.png 447w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-84-260x300.png 260w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-84-400x461.png 400w\" sizes=\"auto, (max-width: 447px) 100vw, 447px\" \/><\/figure>\n\n\n\n<p><strong>27. tan (e<sup>sin x<\/sup>)<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"358\" height=\"201\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-85.png\" alt=\"\" class=\"wp-image-541521\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-85.png 358w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-85-300x168.png 300w\" sizes=\"auto, (max-width: 358px) 100vw, 358px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"359\" height=\"404\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-86.png\" alt=\"\" class=\"wp-image-541522\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-86.png 359w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-86-267x300.png 267w\" sizes=\"auto, (max-width: 359px) 100vw, 359px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"182\" height=\"23\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-87.gif\" alt=\"\" class=\"wp-image-541523\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"366\" height=\"331\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-88.png\" alt=\"\" class=\"wp-image-541524\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-88.png 366w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-88-300x271.png 300w\" sizes=\"auto, (max-width: 366px) 100vw, 366px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"457\" height=\"635\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-89.png\" alt=\"\" class=\"wp-image-541525\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-89.png 457w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-89-216x300.png 216w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-89-400x556.png 400w\" sizes=\"auto, (max-width: 457px) 100vw, 457px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"286\" height=\"106\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-90.png\" alt=\"\" class=\"wp-image-541526\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"91\" height=\"40\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-91.gif\" alt=\"\" class=\"wp-image-541527\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"480\" height=\"626\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-92.png\" alt=\"\" class=\"wp-image-541528\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-92.png 480w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-92-230x300.png 230w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-92-400x522.png 400w\" sizes=\"auto, (max-width: 480px) 100vw, 480px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"296\" height=\"172\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-93.png\" alt=\"\" class=\"wp-image-541529\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"347\" height=\"103\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-94.png\" alt=\"\" class=\"wp-image-541530\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-94.png 347w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-94-300x89.png 300w\" sizes=\"auto, (max-width: 347px) 100vw, 347px\" \/><\/figure>\n\n\n\n<p><strong>30. log (cosec x \u2013 cot x)<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"528\" height=\"644\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-95.png\" alt=\"\" class=\"wp-image-541531\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-95.png 528w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-95-246x300.png 246w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-95-400x488.png 400w\" sizes=\"auto, (max-width: 528px) 100vw, 528px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"305\" height=\"46\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-96.png\" alt=\"\" class=\"wp-image-541532\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-96.png 305w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-96-300x46.png 300w\" sizes=\"auto, (max-width: 305px) 100vw, 305px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"123\" height=\"43\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-97.gif\" alt=\"\" class=\"wp-image-541533\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"698\" height=\"549\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-98.png\" alt=\"\" class=\"wp-image-541534\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-98.png 698w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-98-300x236.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-98-400x315.png 400w\" sizes=\"auto, (max-width: 698px) 100vw, 698px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"666\" height=\"114\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-99.png\" alt=\"\" class=\"wp-image-541535\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-99.png 666w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-99-300x51.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-99-400x68.png 400w\" sizes=\"auto, (max-width: 666px) 100vw, 666px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"583\" height=\"632\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-100.png\" alt=\"\" class=\"wp-image-541536\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-100.png 583w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-100-277x300.png 277w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-100-400x434.png 400w\" sizes=\"auto, (max-width: 583px) 100vw, 583px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"182\" height=\"48\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-101.gif\" alt=\"\" class=\"wp-image-541537\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"355\" height=\"86\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-102.png\" alt=\"\" class=\"wp-image-541538\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-102.png 355w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-102-300x73.png 300w\" sizes=\"auto, (max-width: 355px) 100vw, 355px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"695\" height=\"610\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-103.png\" alt=\"\" class=\"wp-image-541539\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-103.png 695w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-103-300x263.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-103-400x351.png 400w\" sizes=\"auto, (max-width: 695px) 100vw, 695px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"598\" height=\"177\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-104.png\" alt=\"\" class=\"wp-image-541540\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-104.png 598w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-104-300x89.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-104-400x118.png 400w\" sizes=\"auto, (max-width: 598px) 100vw, 598px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"637\" height=\"635\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-105.png\" alt=\"\" class=\"wp-image-541541\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-105.png 637w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-105-300x300.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-105-150x150.png 150w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-105-400x399.png 400w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-105-200x200.png 200w\" sizes=\"auto, (max-width: 637px) 100vw, 637px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"213\" height=\"110\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-106.png\" alt=\"\" class=\"wp-image-541542\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>33. tan<sup>-1<\/sup>&nbsp;(e<sup>x<\/sup>)<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"355\" height=\"538\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-107.png\" alt=\"\" class=\"wp-image-541543\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-107.png 355w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-107-198x300.png 198w\" sizes=\"auto, (max-width: 355px) 100vw, 355px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"93\" height=\"19\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-108.gif\" alt=\"\" class=\"wp-image-541544\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"354\" height=\"219\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-109.png\" alt=\"\" class=\"wp-image-541545\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-109.png 354w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-109-300x186.png 300w\" sizes=\"auto, (max-width: 354px) 100vw, 354px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"255\" height=\"571\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-110.png\" alt=\"\" class=\"wp-image-541546\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-110.png 255w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-110-134x300.png 134w\" sizes=\"auto, (max-width: 255px) 100vw, 255px\" \/><\/figure>\n\n\n\n<p><strong>35. sin (2 sin<sup>-1<\/sup>&nbsp;x)<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Let y =&nbsp;sin (2sin<sup>\u20131<\/sup>x)<\/p>\n\n\n\n<p>On differentiating y with respect to x, we get<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2022\/12\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-111.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 111\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"313\" height=\"389\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-112.png\" alt=\"\" class=\"wp-image-541547\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-112.png 313w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-112-241x300.png 241w\" sizes=\"auto, (max-width: 313px) 100vw, 313px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"102\" height=\"17\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-113.gif\" alt=\"\" class=\"wp-image-541548\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"348\" height=\"351\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-114.png\" alt=\"\" class=\"wp-image-541549\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-114.png 348w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-114-297x300.png 297w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-114-150x150.png 150w\" sizes=\"auto, (max-width: 348px) 100vw, 348px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"277\" height=\"488\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-115.png\" alt=\"\" class=\"wp-image-541550\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-115.png 277w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-115-170x300.png 170w\" sizes=\"auto, (max-width: 277px) 100vw, 277px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"144\" height=\"56\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-116.gif\" alt=\"\" class=\"wp-image-541551\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"352\" height=\"228\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-117.png\" alt=\"\" class=\"wp-image-541552\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-117.png 352w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-117-300x194.png 300w\" sizes=\"auto, (max-width: 352px) 100vw, 352px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"340\" height=\"628\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-118.png\" alt=\"\" class=\"wp-image-541553\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-118.png 340w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-118-162x300.png 162w\" sizes=\"auto, (max-width: 340px) 100vw, 340px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"249\" height=\"199\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-119.png\" alt=\"\" class=\"wp-image-541554\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"197\" height=\"74\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-120.png\" alt=\"\" class=\"wp-image-541555\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p>Exercise 11.3 Page No: 11.62<\/p>\n\n\n\n<p><strong>Differentiate the following functions with respect to x:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"322\" height=\"44\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-121.gif\" alt=\"\" class=\"wp-image-541556\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"390\" height=\"650\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-122.png\" alt=\"\" class=\"wp-image-541557\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-122.png 390w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-122-180x300.png 180w\" sizes=\"auto, (max-width: 390px) 100vw, 390px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"310\" height=\"542\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-123.png\" alt=\"\" class=\"wp-image-541558\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-123.png 310w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-123-172x300.png 172w\" sizes=\"auto, (max-width: 310px) 100vw, 310px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"295\" height=\"55\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-124.gif\" alt=\"\" class=\"wp-image-541559\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"168\" height=\"180\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-125.png\" alt=\"\" class=\"wp-image-541560\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"331\" height=\"638\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-126.png\" alt=\"\" class=\"wp-image-541561\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-126.png 331w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-126-156x300.png 156w\" sizes=\"auto, (max-width: 331px) 100vw, 331px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"277\" height=\"55\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-127.gif\" alt=\"\" class=\"wp-image-541562\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Let,<br><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"158\" height=\"78\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-128.png\" alt=\"\" class=\"wp-image-541563\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"265\" height=\"630\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-129.png\" alt=\"\" class=\"wp-image-541564\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-129.png 265w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-129-126x300.png 126w\" sizes=\"auto, (max-width: 265px) 100vw, 265px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"311\" height=\"92\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-130.png\" alt=\"\" class=\"wp-image-541565\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-130.png 311w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-130-300x89.png 300w\" sizes=\"auto, (max-width: 311px) 100vw, 311px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"277\" height=\"34\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-131.gif\" alt=\"\" class=\"wp-image-541566\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Let,<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"320\" height=\"583\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-132.png\" alt=\"\" class=\"wp-image-541567\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-132.png 320w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-132-165x300.png 165w\" sizes=\"auto, (max-width: 320px) 100vw, 320px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"315\" height=\"45\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-133.gif\" alt=\"\" class=\"wp-image-541568\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"183\" height=\"120\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-134.png\" alt=\"\" class=\"wp-image-541569\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"379\" height=\"641\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-135.png\" alt=\"\" class=\"wp-image-541570\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-135.png 379w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-135-177x300.png 177w\" sizes=\"auto, (max-width: 379px) 100vw, 379px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"161\" height=\"115\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-136.png\" alt=\"\" class=\"wp-image-541571\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"184\" height=\"45\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-137.gif\" alt=\"\" class=\"wp-image-541572\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"343\" height=\"634\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-138.png\" alt=\"\" class=\"wp-image-541573\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-138.png 343w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-138-162x300.png 162w\" sizes=\"auto, (max-width: 343px) 100vw, 343px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"144\" height=\"111\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-139.png\" alt=\"\" class=\"wp-image-541574\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>7. Sin<sup>-1<\/sup>&nbsp;(2x<sup>2<\/sup>&nbsp;\u2013 1), 0 &lt; x &lt; 1<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"219\" height=\"613\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-140.png\" alt=\"\" class=\"wp-image-541575\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-140.png 219w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-140-107x300.png 107w\" sizes=\"auto, (max-width: 219px) 100vw, 219px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"201\" height=\"152\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-141.png\" alt=\"\" class=\"wp-image-541576\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-141.png 201w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-141-200x150.png 200w\" sizes=\"auto, (max-width: 201px) 100vw, 201px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"314\" height=\"204\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-142.png\" alt=\"\" class=\"wp-image-541577\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-142.png 314w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-142-300x195.png 300w\" sizes=\"auto, (max-width: 314px) 100vw, 314px\" \/><\/figure>\n\n\n\n<p><strong>8. Sin<sup>-1<\/sup>&nbsp;(1 \u2013 2x<sup>2<\/sup>), 0 &lt; x &lt; 1<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"260\" height=\"524\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-143.png\" alt=\"\" class=\"wp-image-541578\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-143.png 260w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-143-149x300.png 149w\" sizes=\"auto, (max-width: 260px) 100vw, 260px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"318\" height=\"444\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-144.png\" alt=\"\" class=\"wp-image-541579\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-144.png 318w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-144-215x300.png 215w\" sizes=\"auto, (max-width: 318px) 100vw, 318px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"186\" height=\"45\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-145.gif\" alt=\"\" class=\"wp-image-541580\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"227\" height=\"248\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-146.png\" alt=\"\" class=\"wp-image-541581\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"312\" height=\"493\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-147.png\" alt=\"\" class=\"wp-image-541582\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-147.png 312w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-147-190x300.png 190w\" sizes=\"auto, (max-width: 312px) 100vw, 312px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"379\" height=\"45\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-148.gif\" alt=\"\" class=\"wp-image-541583\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"342\" height=\"233\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-149.png\" alt=\"\" class=\"wp-image-541584\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-149.png 342w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-149-300x204.png 300w\" sizes=\"auto, (max-width: 342px) 100vw, 342px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"343\" height=\"311\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-150.png\" alt=\"\" class=\"wp-image-541585\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-150.png 343w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-150-300x272.png 300w\" sizes=\"auto, (max-width: 343px) 100vw, 343px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"371\" height=\"45\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-151.gif\" alt=\"\" class=\"wp-image-541586\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"360\" height=\"408\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-152.png\" alt=\"\" class=\"wp-image-541587\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-152.png 360w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-152-265x300.png 265w\" sizes=\"auto, (max-width: 360px) 100vw, 360px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"278\" height=\"228\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-153.png\" alt=\"\" class=\"wp-image-541588\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"348\" height=\"45\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-154.gif\" alt=\"\" class=\"wp-image-541589\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"415\" height=\"488\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-155.png\" alt=\"\" class=\"wp-image-541590\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-155.png 415w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-155-255x300.png 255w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-155-400x470.png 400w\" sizes=\"auto, (max-width: 415px) 100vw, 415px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"308\" height=\"610\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-156.png\" alt=\"\" class=\"wp-image-541591\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-156.png 308w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-156-151x300.png 151w\" sizes=\"auto, (max-width: 308px) 100vw, 308px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"362\" height=\"45\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-157.gif\" alt=\"\" class=\"wp-image-541592\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"198\" height=\"110\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-158.png\" alt=\"\" class=\"wp-image-541593\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"400\" height=\"621\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-159.png\" alt=\"\" class=\"wp-image-541594\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-159.png 400w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-159-193x300.png 193w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"318\" height=\"223\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-160.png\" alt=\"\" class=\"wp-image-541595\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-160.png 318w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-160-300x210.png 300w\" sizes=\"auto, (max-width: 318px) 100vw, 318px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"171\" height=\"169\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-161.png\" alt=\"\" class=\"wp-image-541596\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2022\/12\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-162.gif\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 162\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"338\" height=\"554\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-163.png\" alt=\"\" class=\"wp-image-541597\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-163.png 338w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-163-183x300.png 183w\" sizes=\"auto, (max-width: 338px) 100vw, 338px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"361\" height=\"597\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-164.png\" alt=\"\" class=\"wp-image-541598\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-164.png 361w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-164-181x300.png 181w\" sizes=\"auto, (max-width: 361px) 100vw, 361px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"350\" height=\"55\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-165-1.gif\" alt=\"\" class=\"wp-image-541599\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"210\" height=\"128\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-166.png\" alt=\"\" class=\"wp-image-541600\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"343\" height=\"624\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-167.png\" alt=\"\" class=\"wp-image-541601\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-167.png 343w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-167-165x300.png 165w\" sizes=\"auto, (max-width: 343px) 100vw, 343px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"195\" height=\"189\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-168.png\" alt=\"\" class=\"wp-image-541602\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"318\" height=\"199\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-169.png\" alt=\"\" class=\"wp-image-541603\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-169.png 318w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-169-300x188.png 300w\" sizes=\"auto, (max-width: 318px) 100vw, 318px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"313\" height=\"45\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-170.gif\" alt=\"\" class=\"wp-image-541604\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"261\" height=\"522\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-171.png\" alt=\"\" class=\"wp-image-541605\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-171.png 261w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-171-150x300.png 150w\" sizes=\"auto, (max-width: 261px) 100vw, 261px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"320\" height=\"341\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-172.png\" alt=\"\" class=\"wp-image-541606\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-172.png 320w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-172-282x300.png 282w\" sizes=\"auto, (max-width: 320px) 100vw, 320px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-173.gif\" alt=\"\" class=\"wp-image-541607\" width=\"306\" height=\"49\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p>Solution:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"209\" height=\"364\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-174.png\" alt=\"\" class=\"wp-image-541608\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-174.png 209w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-174-172x300.png 172w\" sizes=\"auto, (max-width: 209px) 100vw, 209px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"336\" height=\"599\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-175.png\" alt=\"\" class=\"wp-image-541609\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-175.png 336w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-175-168x300.png 168w\" sizes=\"auto, (max-width: 336px) 100vw, 336px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"380\" height=\"45\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-176.gif\" alt=\"\" class=\"wp-image-541610\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"188\" height=\"171\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-177.png\" alt=\"\" class=\"wp-image-541611\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"315\" height=\"637\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-178.png\" alt=\"\" class=\"wp-image-541612\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-178.png 315w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-178-148x300.png 148w\" sizes=\"auto, (max-width: 315px) 100vw, 315px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"376\" height=\"55\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-179.gif\" alt=\"\" class=\"wp-image-541613\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Let,<br><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"250\" height=\"94\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-180.png\" alt=\"\" class=\"wp-image-541614\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"385\" height=\"615\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-181.png\" alt=\"\" class=\"wp-image-541615\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-181.png 385w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-181-188x300.png 188w\" sizes=\"auto, (max-width: 385px) 100vw, 385px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"310\" height=\"275\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-182.png\" alt=\"\" class=\"wp-image-541616\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-182.png 310w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-182-300x266.png 300w\" sizes=\"auto, (max-width: 310px) 100vw, 310px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"311\" height=\"259\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-183.png\" alt=\"\" class=\"wp-image-541617\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-183.png 311w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-183-300x250.png 300w\" sizes=\"auto, (max-width: 311px) 100vw, 311px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"316\" height=\"55\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-184.gif\" alt=\"\" class=\"wp-image-541618\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"265\" height=\"433\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-185.png\" alt=\"\" class=\"wp-image-541619\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-185.png 265w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-185-184x300.png 184w\" sizes=\"auto, (max-width: 265px) 100vw, 265px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"390\" height=\"490\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-186.png\" alt=\"\" class=\"wp-image-541620\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-186.png 390w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-186-239x300.png 239w\" sizes=\"auto, (max-width: 390px) 100vw, 390px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"329\" height=\"45\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-187.gif\" alt=\"\" class=\"wp-image-541621\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"449\" height=\"240\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-188.png\" alt=\"\" class=\"wp-image-541622\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-188.png 449w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-188-300x160.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-188-400x214.png 400w\" sizes=\"auto, (max-width: 449px) 100vw, 449px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"312\" height=\"252\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-189.png\" alt=\"\" class=\"wp-image-541623\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-189.png 312w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-189-300x242.png 300w\" sizes=\"auto, (max-width: 312px) 100vw, 312px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"184\" height=\"45\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-190.gif\" alt=\"\" class=\"wp-image-541624\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"212\" height=\"478\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-191.png\" alt=\"\" class=\"wp-image-541625\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-191.png 212w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-191-133x300.png 133w\" sizes=\"auto, (max-width: 212px) 100vw, 212px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"313\" height=\"176\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-192.png\" alt=\"\" class=\"wp-image-541626\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-192.png 313w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-192-300x169.png 300w\" sizes=\"auto, (max-width: 313px) 100vw, 313px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"297\" height=\"48\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-193.gif\" alt=\"\" class=\"wp-image-541627\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"203\" height=\"540\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-194.png\" alt=\"\" class=\"wp-image-541628\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-194.png 203w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-194-113x300.png 113w\" sizes=\"auto, (max-width: 203px) 100vw, 203px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"338\" height=\"237\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-195.png\" alt=\"\" class=\"wp-image-541629\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-195.png 338w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-195-300x210.png 300w\" sizes=\"auto, (max-width: 338px) 100vw, 338px\" \/><\/figure>\n\n\n\n<p>Exercise 11.4 Page No: 11.74<\/p>\n\n\n\n<p><strong>Find dy\/dx in each of the following:<\/strong><\/p>\n\n\n\n<p><strong>1. xy = c<sup>2<\/sup><\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"606\" height=\"387\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-196.png\" alt=\"\" class=\"wp-image-541630\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-196.png 606w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-196-300x192.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-196-400x255.png 400w\" sizes=\"auto, (max-width: 606px) 100vw, 606px\" \/><\/figure>\n\n\n\n<p><strong>2. y<sup>3<\/sup>&nbsp;\u2013 3xy<sup>2<\/sup>&nbsp;= x<sup>3<\/sup>&nbsp;+ 3x<sup>2<\/sup>y<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Given y<sup>3<\/sup>&nbsp;\u2013 3xy<sup>2<\/sup>&nbsp;= x<sup>3<\/sup>&nbsp;+ 3x<sup>2<\/sup>y,<\/p>\n\n\n\n<p>Now we have to find&nbsp;dy\/dx&nbsp;of given equation, so by differentiating the equation on both sides with respect to x, we get,<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"357\" height=\"92\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-197.png\" alt=\"\" class=\"wp-image-541631\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-197.png 357w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-197-300x77.png 300w\" sizes=\"auto, (max-width: 357px) 100vw, 357px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"498\" height=\"474\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-198.png\" alt=\"\" class=\"wp-image-541632\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-198.png 498w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-198-300x286.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-198-400x381.png 400w\" sizes=\"auto, (max-width: 498px) 100vw, 498px\" \/><\/figure>\n\n\n\n<p><strong>3. x<sup>2\/3<\/sup>&nbsp;+ y<sup>2\/3<\/sup>&nbsp;= a<sup>2\/3<\/sup><\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Given x<sup>2\/3<\/sup>&nbsp;+ y<sup>2\/3<\/sup>&nbsp;= a<sup>2\/3<\/sup>,<\/p>\n\n\n\n<p>Now we have to find&nbsp;dy\/dx&nbsp;of given equation, so by differentiating the equation on both sides with respect to x, we get,<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"295\" height=\"215\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-199.png\" alt=\"\" class=\"wp-image-541633\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>4. 4x + 3y = log (4x \u2013 3y)<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Given 4x + 3y = log (4x \u2013 3y),<\/p>\n\n\n\n<p>Now we have to find&nbsp;dy\/dx&nbsp;of it, so by differentiating the equation on both sides with respect to x, we get,<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"340\" height=\"530\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-200.png\" alt=\"\" class=\"wp-image-541634\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-200.png 340w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-200-192x300.png 192w\" sizes=\"auto, (max-width: 340px) 100vw, 340px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"128\" height=\"43\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-201.gif\" alt=\"\" class=\"wp-image-541635\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"541\" height=\"228\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-202.png\" alt=\"\" class=\"wp-image-541636\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-202.png 541w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-202-300x126.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-202-400x169.png 400w\" sizes=\"auto, (max-width: 541px) 100vw, 541px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"575\" height=\"166\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-203.png\" alt=\"\" class=\"wp-image-541637\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-203.png 575w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-203-300x87.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-203-400x115.png 400w\" sizes=\"auto, (max-width: 575px) 100vw, 575px\" \/><\/figure>\n\n\n\n<p><strong>6. x<sup>5<\/sup>&nbsp;+ y<sup>5<\/sup>&nbsp;= 5xy<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Given x<sup>5<\/sup>&nbsp;+ y<sup>5<\/sup>&nbsp;= 5xy<\/p>\n\n\n\n<p>Now we have to find&nbsp;dy\/dx&nbsp;of given equation, so by differentiating the equation on both sides with respect to x, we get,<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"279\" height=\"554\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-204.png\" alt=\"\" class=\"wp-image-541638\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-204.png 279w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-204-151x300.png 151w\" sizes=\"auto, (max-width: 279px) 100vw, 279px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"125\" height=\"54\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-205.png\" alt=\"\" class=\"wp-image-541639\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>7. (x + y)<sup>2<\/sup>&nbsp;= 2axy<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Given (x + y)<sup>2<\/sup>&nbsp;= 2axy<\/p>\n\n\n\n<p>Now we have to find&nbsp;dy\/dx&nbsp;of given equation, so by differentiating the equation on both sides with respect to x, we get,<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"331\" height=\"476\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-206.png\" alt=\"\" class=\"wp-image-541640\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-206.png 331w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-206-209x300.png 209w\" sizes=\"auto, (max-width: 331px) 100vw, 331px\" \/><\/figure>\n\n\n\n<p><strong>8. (x<sup>2<\/sup>&nbsp;+ y<sup>2<\/sup>)<sup>2<\/sup>&nbsp;= xy<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Given (x + y)<sup>2<\/sup>&nbsp;= 2axy<\/p>\n\n\n\n<p>Now we have to find&nbsp;dy\/dx&nbsp;of given equation, so by differentiating the equation on both sides with respect to x, we get,<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"347\" height=\"555\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-207.png\" alt=\"\" class=\"wp-image-541641\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-207.png 347w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-207-188x300.png 188w\" sizes=\"auto, (max-width: 347px) 100vw, 347px\" \/><\/figure>\n\n\n\n<p><strong>9. Tan<sup>-1<\/sup>&nbsp;(x<sup>2<\/sup>&nbsp;+ y<sup>2<\/sup>)<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Given tan&nbsp;<sup>\u2013 1<\/sup>(x<sup>2<\/sup>&nbsp;+ y<sup>2<\/sup>) = a,<\/p>\n\n\n\n<p>Now we have to find&nbsp;dy\/dx&nbsp;of given function, so by differentiating the equation on both sides with respect to x, we get,<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"222\" height=\"114\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-208.png\" alt=\"\" class=\"wp-image-541642\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"166\" height=\"45\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-209.gif\" alt=\"\" class=\"wp-image-541643\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"621\" height=\"581\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-210.png\" alt=\"\" class=\"wp-image-541644\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-210.png 621w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-210-300x281.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-210-400x374.png 400w\" sizes=\"auto, (max-width: 621px) 100vw, 621px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"286\" height=\"128\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-211.png\" alt=\"\" class=\"wp-image-541645\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"206\" height=\"219\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-212.png\" alt=\"\" class=\"wp-image-541646\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>11. Sin xy + cos (x + y) = 1<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Given Sin x y + cos (x + y) = 1<\/p>\n\n\n\n<p>Now we have to find&nbsp;dy\/dx&nbsp;of given function, so by differentiating the equation on both sides with respect to x, we get,<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"422\" height=\"449\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-213.png\" alt=\"\" class=\"wp-image-541647\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-213.png 422w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-213-282x300.png 282w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-213-400x426.png 400w\" sizes=\"auto, (max-width: 422px) 100vw, 422px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"593\" height=\"56\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-214.gif\" alt=\"\" class=\"wp-image-541648\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"382\" height=\"641\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-215.png\" alt=\"\" class=\"wp-image-541649\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-215.png 382w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-215-179x300.png 179w\" sizes=\"auto, (max-width: 382px) 100vw, 382px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"304\" height=\"53\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-216.png\" alt=\"\" class=\"wp-image-541650\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-216.png 304w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-216-300x53.png 300w\" sizes=\"auto, (max-width: 304px) 100vw, 304px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"233\" height=\"277\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-217.png\" alt=\"\" class=\"wp-image-541651\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"578\" height=\"56\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-218.gif\" alt=\"\" class=\"wp-image-541652\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"386\" height=\"480\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-219.png\" alt=\"\" class=\"wp-image-541653\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-219.png 386w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-219-241x300.png 241w\" sizes=\"auto, (max-width: 386px) 100vw, 386px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"374\" height=\"255\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-220.png\" alt=\"\" class=\"wp-image-541654\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-220.png 374w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-220-300x205.png 300w\" sizes=\"auto, (max-width: 374px) 100vw, 374px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"353\" height=\"39\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-221.gif\" alt=\"\" class=\"wp-image-541655\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"307\" height=\"468\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-222.png\" alt=\"\" class=\"wp-image-541656\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-222.png 307w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-222-197x300.png 197w\" sizes=\"auto, (max-width: 307px) 100vw, 307px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"124\" height=\"125\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-223.png\" alt=\"\" class=\"wp-image-541657\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"372\" height=\"39\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-224.gif\" alt=\"\" class=\"wp-image-541658\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"513\" height=\"627\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-225.png\" alt=\"\" class=\"wp-image-541659\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-225.png 513w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-225-245x300.png 245w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-225-400x489.png 400w\" sizes=\"auto, (max-width: 513px) 100vw, 513px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"142\" height=\"220\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-226.png\" alt=\"\" class=\"wp-image-541660\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p>Exercise 11.5 Page No: 11.88<\/p>\n\n\n\n<p><strong>Differentiate the following functions with respect to x:<\/strong><\/p>\n\n\n\n<p><strong>1. x<sup>1\/x<\/sup><\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"568\" height=\"639\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-227.png\" alt=\"\" class=\"wp-image-541661\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-227.png 568w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-227-267x300.png 267w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-227-400x450.png 400w\" sizes=\"auto, (max-width: 568px) 100vw, 568px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"201\" height=\"91\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-228.png\" alt=\"\" class=\"wp-image-541662\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"194\" height=\"91\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-229.png\" alt=\"\" class=\"wp-image-541663\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>2. x<sup>sin x<\/sup><\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"588\" height=\"616\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-230.png\" alt=\"\" class=\"wp-image-541664\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-230.png 588w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-230-286x300.png 286w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-230-400x419.png 400w\" sizes=\"auto, (max-width: 588px) 100vw, 588px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"283\" height=\"50\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-231.png\" alt=\"\" class=\"wp-image-541665\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>3. (1 + cos x)<sup>x<\/sup><\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"537\" height=\"606\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-232.png\" alt=\"\" class=\"wp-image-541666\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-232.png 537w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-232-266x300.png 266w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-232-400x451.png 400w\" sizes=\"auto, (max-width: 537px) 100vw, 537px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"420\" height=\"140\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-233.png\" alt=\"\" class=\"wp-image-541667\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-233.png 420w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-233-300x100.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-233-400x133.png 400w\" sizes=\"auto, (max-width: 420px) 100vw, 420px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"79\" height=\"18\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-234.gif\" alt=\"\" class=\"wp-image-541668\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"603\" height=\"604\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-235.png\" alt=\"\" class=\"wp-image-541669\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-235.png 603w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-235-300x300.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-235-150x150.png 150w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-235-400x401.png 400w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-235-200x200.png 200w\" sizes=\"auto, (max-width: 603px) 100vw, 603px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"308\" height=\"104\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-236.png\" alt=\"\" class=\"wp-image-541670\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-236.png 308w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-236-300x101.png 300w\" sizes=\"auto, (max-width: 308px) 100vw, 308px\" \/><\/figure>\n\n\n\n<p><strong>5. (log x)<sup>x<\/sup><\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"428\" height=\"648\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-237.png\" alt=\"\" class=\"wp-image-541671\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-237.png 428w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-237-198x300.png 198w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-237-400x606.png 400w\" sizes=\"auto, (max-width: 428px) 100vw, 428px\" \/><\/figure>\n\n\n\n<p><strong>6. (log x)<sup>cos x<\/sup><\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Let y =&nbsp;(log x)<sup>cos x<\/sup><\/p>\n\n\n\n<p>Taking log both the sides, we get<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"430\" height=\"576\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-238.png\" alt=\"\" class=\"wp-image-541672\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-238.png 430w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-238-224x300.png 224w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-238-150x200.png 150w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-238-400x536.png 400w\" sizes=\"auto, (max-width: 430px) 100vw, 430px\" \/><\/figure>\n\n\n\n<p><strong>7. (Sin x)<sup>cos x<\/sup><\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"317\" height=\"172\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-239.png\" alt=\"\" class=\"wp-image-541673\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-239.png 317w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-239-300x163.png 300w\" sizes=\"auto, (max-width: 317px) 100vw, 317px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"554\" height=\"475\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-240.png\" alt=\"\" class=\"wp-image-541674\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-240.png 554w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-240-300x257.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-240-400x343.png 400w\" sizes=\"auto, (max-width: 554px) 100vw, 554px\" \/><\/figure>\n\n\n\n<p><strong>8. e<sup>x log x<\/sup><\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"298\" height=\"300\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-241.png\" alt=\"\" class=\"wp-image-541675\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-241.png 298w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-241-150x150.png 150w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-241-200x200.png 200w\" sizes=\"auto, (max-width: 298px) 100vw, 298px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"374\" height=\"514\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-242.png\" alt=\"\" class=\"wp-image-541676\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-242.png 374w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-242-218x300.png 218w\" sizes=\"auto, (max-width: 374px) 100vw, 374px\" \/><\/figure>\n\n\n\n<p><strong>9. (Sin x)<sup>log x<\/sup><\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"354\" height=\"267\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-243.png\" alt=\"\" class=\"wp-image-541677\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-243.png 354w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-243-300x226.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-243-200x150.png 200w\" sizes=\"auto, (max-width: 354px) 100vw, 354px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"417\" height=\"414\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-244.png\" alt=\"\" class=\"wp-image-541678\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-244.png 417w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-244-300x298.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-244-150x150.png 150w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-244-200x200.png 200w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-244-400x397.png 400w\" sizes=\"auto, (max-width: 417px) 100vw, 417px\" \/><\/figure>\n\n\n\n<p><strong>10. 10<sup>log sin x<\/sup><\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"344\" height=\"320\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-245.png\" alt=\"\" class=\"wp-image-541679\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-245.png 344w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-245-300x279.png 300w\" sizes=\"auto, (max-width: 344px) 100vw, 344px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"383\" height=\"343\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-246.png\" alt=\"\" class=\"wp-image-541680\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-246.png 383w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-246-300x269.png 300w\" sizes=\"auto, (max-width: 383px) 100vw, 383px\" \/><\/figure>\n\n\n\n<p><strong>11. (log x)<sup>log x<\/sup><\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"460\" height=\"445\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-247.png\" alt=\"\" class=\"wp-image-541681\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-247.png 460w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-247-300x290.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-247-400x387.png 400w\" sizes=\"auto, (max-width: 460px) 100vw, 460px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"399\" height=\"323\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-248.png\" alt=\"\" class=\"wp-image-541682\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-248.png 399w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-248-300x243.png 300w\" sizes=\"auto, (max-width: 399px) 100vw, 399px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"83\" height=\"17\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-249.gif\" alt=\"\" class=\"wp-image-541683\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"557\" height=\"490\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-250.png\" alt=\"\" class=\"wp-image-541684\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-250.png 557w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-250-300x264.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-250-400x352.png 400w\" sizes=\"auto, (max-width: 557px) 100vw, 557px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"223\" height=\"271\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-251.png\" alt=\"\" class=\"wp-image-541685\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>13. Sin (x<sup>x<\/sup>)<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"464\" height=\"545\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-252.png\" alt=\"\" class=\"wp-image-541686\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-252.png 464w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-252-255x300.png 255w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-252-400x470.png 400w\" sizes=\"auto, (max-width: 464px) 100vw, 464px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"540\" height=\"542\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-253.png\" alt=\"\" class=\"wp-image-541687\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-253.png 540w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-253-300x300.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-253-150x150.png 150w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-253-400x401.png 400w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-253-200x200.png 200w\" sizes=\"auto, (max-width: 540px) 100vw, 540px\" \/><\/figure>\n\n\n\n<p><strong>14. (Sin<sup>-1<\/sup>&nbsp;x)<sup>x<\/sup><\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"307\" height=\"173\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-254.png\" alt=\"\" class=\"wp-image-541688\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-254.png 307w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-254-300x169.png 300w\" sizes=\"auto, (max-width: 307px) 100vw, 307px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"549\" height=\"619\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-255.png\" alt=\"\" class=\"wp-image-541689\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-255.png 549w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-255-266x300.png 266w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-255-400x451.png 400w\" sizes=\"auto, (max-width: 549px) 100vw, 549px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"87\" height=\"18\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-256.gif\" alt=\"\" class=\"wp-image-541690\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"298\" height=\"138\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-257.png\" alt=\"\" class=\"wp-image-541691\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"455\" height=\"533\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-258.png\" alt=\"\" class=\"wp-image-541692\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-258.png 455w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-258-256x300.png 256w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-258-400x469.png 400w\" sizes=\"auto, (max-width: 455px) 100vw, 455px\" \/><\/figure>\n\n\n\n<p><strong>16. (tan x)<sup>1\/x<\/sup><\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"294\" height=\"195\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-259.png\" alt=\"\" class=\"wp-image-541693\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"588\" height=\"563\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-260.png\" alt=\"\" class=\"wp-image-541694\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-260.png 588w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-260-300x287.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-260-400x383.png 400w\" sizes=\"auto, (max-width: 588px) 100vw, 588px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"90\" height=\"17\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-261.gif\" alt=\"\" class=\"wp-image-541695\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"270\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-262.png\" alt=\"\" class=\"wp-image-541696\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"492\" height=\"500\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-263.png\" alt=\"\" class=\"wp-image-541697\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-263.png 492w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-263-295x300.png 295w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-263-400x407.png 400w\" sizes=\"auto, (max-width: 492px) 100vw, 492px\" \/><\/figure>\n\n\n\n<p><strong>18. (i) (x<sup>x<\/sup>) \u221ax<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"395\" height=\"296\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-264.png\" alt=\"\" class=\"wp-image-541698\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-264.png 395w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-264-300x225.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-264-200x150.png 200w\" sizes=\"auto, (max-width: 395px) 100vw, 395px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"446\" height=\"581\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-265.png\" alt=\"\" class=\"wp-image-541699\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-265.png 446w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-265-230x300.png 230w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-265-400x521.png 400w\" sizes=\"auto, (max-width: 446px) 100vw, 446px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"260\" height=\"103\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-266.png\" alt=\"\" class=\"wp-image-541700\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"251\" height=\"45\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-267.gif\" alt=\"\" class=\"wp-image-541701\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"226\" height=\"43\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-268.png\" alt=\"\" class=\"wp-image-541702\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"504\" height=\"633\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-269.png\" alt=\"\" class=\"wp-image-541703\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-269.png 504w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-269-239x300.png 239w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-269-400x502.png 400w\" sizes=\"auto, (max-width: 504px) 100vw, 504px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"424\" height=\"234\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-270.png\" alt=\"\" class=\"wp-image-541704\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-270.png 424w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-270-300x166.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-270-400x221.png 400w\" sizes=\"auto, (max-width: 424px) 100vw, 424px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"583\" height=\"607\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-271.png\" alt=\"\" class=\"wp-image-541705\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-271.png 583w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-271-288x300.png 288w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-271-400x416.png 400w\" sizes=\"auto, (max-width: 583px) 100vw, 583px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"545\" height=\"138\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-272.png\" alt=\"\" class=\"wp-image-541706\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-272.png 545w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-272-300x76.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-272-400x101.png 400w\" sizes=\"auto, (max-width: 545px) 100vw, 545px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"206\" height=\"43\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-273.gif\" alt=\"\" class=\"wp-image-541707\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"552\" height=\"623\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-274.png\" alt=\"\" class=\"wp-image-541708\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-274.png 552w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-274-266x300.png 266w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-274-400x451.png 400w\" sizes=\"auto, (max-width: 552px) 100vw, 552px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"592\" height=\"132\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-275.png\" alt=\"\" class=\"wp-image-541709\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-275.png 592w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-275-300x67.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-275-400x89.png 400w\" sizes=\"auto, (max-width: 592px) 100vw, 592px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"584\" height=\"649\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-276.png\" alt=\"\" class=\"wp-image-541710\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-276.png 584w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-276-270x300.png 270w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-276-400x445.png 400w\" sizes=\"auto, (max-width: 584px) 100vw, 584px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"469\" height=\"383\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-277.png\" alt=\"\" class=\"wp-image-541711\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-277.png 469w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-277-300x245.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-277-400x327.png 400w\" sizes=\"auto, (max-width: 469px) 100vw, 469px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2022\/12\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-278.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 278\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"255\" height=\"23\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-279.gif\" alt=\"\" class=\"wp-image-541712\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"445\" height=\"545\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-280.png\" alt=\"\" class=\"wp-image-541713\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-280.png 445w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-280-245x300.png 245w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-280-400x490.png 400w\" sizes=\"auto, (max-width: 445px) 100vw, 445px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"467\" height=\"644\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-281.png\" alt=\"\" class=\"wp-image-541714\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-281.png 467w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-281-218x300.png 218w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-281-400x552.png 400w\" sizes=\"auto, (max-width: 467px) 100vw, 467px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"310\" height=\"220\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-282.png\" alt=\"\" class=\"wp-image-541715\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-282.png 310w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-282-300x213.png 300w\" sizes=\"auto, (max-width: 310px) 100vw, 310px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"490\" height=\"610\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-283.png\" alt=\"\" class=\"wp-image-541716\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-283.png 490w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-283-241x300.png 241w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-283-400x498.png 400w\" sizes=\"auto, (max-width: 490px) 100vw, 490px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"409\" height=\"95\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-284.png\" alt=\"\" class=\"wp-image-541717\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-284.png 409w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-284-300x70.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-284-400x93.png 400w\" sizes=\"auto, (max-width: 409px) 100vw, 409px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"230\" height=\"46\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-285.gif\" alt=\"\" class=\"wp-image-541718\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"430\" height=\"620\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-286.png\" alt=\"\" class=\"wp-image-541719\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-286.png 430w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-286-208x300.png 208w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-286-400x577.png 400w\" sizes=\"auto, (max-width: 430px) 100vw, 430px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"441\" height=\"254\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-287.png\" alt=\"\" class=\"wp-image-541720\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-287.png 441w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-287-300x173.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-287-400x230.png 400w\" sizes=\"auto, (max-width: 441px) 100vw, 441px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"509\" height=\"607\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-288.png\" alt=\"\" class=\"wp-image-541721\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-288.png 509w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-288-252x300.png 252w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-288-400x477.png 400w\" sizes=\"auto, (max-width: 509px) 100vw, 509px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"432\" height=\"304\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-289.png\" alt=\"\" class=\"wp-image-541722\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-289.png 432w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-289-300x211.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-289-400x281.png 400w\" sizes=\"auto, (max-width: 432px) 100vw, 432px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"518\" height=\"602\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-290.png\" alt=\"\" class=\"wp-image-541723\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-290.png 518w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-290-258x300.png 258w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-290-400x465.png 400w\" sizes=\"auto, (max-width: 518px) 100vw, 518px\" \/><\/figure>\n\n\n\n<p><strong>18. (vi) e<sup>sin x<\/sup>&nbsp;+ (tan x)<sup>x<\/sup><\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"434\" height=\"137\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-291.png\" alt=\"\" class=\"wp-image-541724\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-291.png 434w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-291-300x95.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-291-400x126.png 400w\" sizes=\"auto, (max-width: 434px) 100vw, 434px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"424\" height=\"647\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-292.png\" alt=\"\" class=\"wp-image-541725\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-292.png 424w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-292-197x300.png 197w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-292-400x610.png 400w\" sizes=\"auto, (max-width: 424px) 100vw, 424px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"299\" height=\"194\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-293.png\" alt=\"\" class=\"wp-image-541726\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"493\" height=\"624\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-294.png\" alt=\"\" class=\"wp-image-541727\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-294.png 493w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-294-237x300.png 237w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-294-400x506.png 400w\" sizes=\"auto, (max-width: 493px) 100vw, 493px\" \/><\/figure>\n\n\n\n<p><strong>18. (vii) (cos x)<sup>x<\/sup>&nbsp;+ (sin x)<sup>1\/x<\/sup><\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"429\" height=\"191\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-295.png\" alt=\"\" class=\"wp-image-541728\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-295.png 429w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-295-300x134.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-295-400x178.png 400w\" sizes=\"auto, (max-width: 429px) 100vw, 429px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"442\" height=\"621\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-296.png\" alt=\"\" class=\"wp-image-541729\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-296.png 442w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-296-214x300.png 214w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-296-400x562.png 400w\" sizes=\"auto, (max-width: 442px) 100vw, 442px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"296\" height=\"160\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-297.png\" alt=\"\" class=\"wp-image-541730\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"434\" height=\"586\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-298.png\" alt=\"\" class=\"wp-image-541731\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-298.png 434w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-298-222x300.png 222w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-298-400x540.png 400w\" sizes=\"auto, (max-width: 434px) 100vw, 434px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"312\" height=\"269\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-299.png\" alt=\"\" class=\"wp-image-541732\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-299.png 312w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-299-300x259.png 300w\" sizes=\"auto, (max-width: 312px) 100vw, 312px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"562\" height=\"172\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-300.png\" alt=\"\" class=\"wp-image-541733\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-300.png 562w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-300-300x92.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-300-400x122.png 400w\" sizes=\"auto, (max-width: 562px) 100vw, 562px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-301.gif\" alt=\"\" class=\"wp-image-541734\" width=\"230\" height=\"21\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"456\" height=\"557\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-301.png\" alt=\"\" class=\"wp-image-541735\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-301.png 456w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-301-246x300.png 246w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-301-400x489.png 400w\" sizes=\"auto, (max-width: 456px) 100vw, 456px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"450\" height=\"629\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-302.png\" alt=\"\" class=\"wp-image-541736\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-302.png 450w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-302-215x300.png 215w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-302-400x559.png 400w\" sizes=\"auto, (max-width: 450px) 100vw, 450px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"439\" height=\"206\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-303.png\" alt=\"\" class=\"wp-image-541737\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-303.png 439w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-303-300x141.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-303-400x188.png 400w\" sizes=\"auto, (max-width: 439px) 100vw, 439px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"587\" height=\"271\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-304.png\" alt=\"\" class=\"wp-image-541738\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-304.png 587w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-304-300x139.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-304-400x185.png 400w\" sizes=\"auto, (max-width: 587px) 100vw, 587px\" \/><\/figure>\n\n\n\n<p><strong>19. y = e<sup>x<\/sup>&nbsp;+ 10<sup>x<\/sup>&nbsp;+ x<sup>x<\/sup><\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"464\" height=\"585\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-305.png\" alt=\"\" class=\"wp-image-541739\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-305.png 464w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-305-238x300.png 238w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-305-400x504.png 400w\" sizes=\"auto, (max-width: 464px) 100vw, 464px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"260\" height=\"610\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-306.png\" alt=\"\" class=\"wp-image-541740\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-306.png 260w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-306-128x300.png 128w\" sizes=\"auto, (max-width: 260px) 100vw, 260px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"202\" height=\"196\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-307.png\" alt=\"\" class=\"wp-image-541741\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"314\" height=\"602\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-308.png\" alt=\"\" class=\"wp-image-541742\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-308.png 314w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-308-156x300.png 156w\" sizes=\"auto, (max-width: 314px) 100vw, 314px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"329\" height=\"154\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-309.png\" alt=\"\" class=\"wp-image-541743\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-309.png 329w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-309-300x140.png 300w\" sizes=\"auto, (max-width: 329px) 100vw, 329px\" \/><\/figure>\n\n\n\n<p><strong>20. y = x<sup>n<\/sup>&nbsp;+ n<sup>x<\/sup>&nbsp;+ x<sup>x<\/sup>&nbsp;+ n<sup>n<\/sup><\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"489\" height=\"614\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-310.png\" alt=\"\" class=\"wp-image-541744\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-310.png 489w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-310-239x300.png 239w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-310-400x502.png 400w\" sizes=\"auto, (max-width: 489px) 100vw, 489px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"263\" height=\"223\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-311.png\" alt=\"\" class=\"wp-image-541745\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"437\" height=\"642\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-312.png\" alt=\"\" class=\"wp-image-541746\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-312.png 437w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-312-204x300.png 204w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-312-400x588.png 400w\" sizes=\"auto, (max-width: 437px) 100vw, 437px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"257\" height=\"193\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-313.png\" alt=\"\" class=\"wp-image-541747\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-313.png 257w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-313-200x150.png 200w\" sizes=\"auto, (max-width: 257px) 100vw, 257px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"368\" height=\"652\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-314.png\" alt=\"\" class=\"wp-image-541748\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-314.png 368w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-314-169x300.png 169w\" sizes=\"auto, (max-width: 368px) 100vw, 368px\" \/><\/figure>\n\n\n\n<p>Exercise 11.6 Page No: 11.98<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"573\" height=\"50\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-315.gif\" alt=\"\" class=\"wp-image-541749\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"340\" height=\"491\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-316.png\" alt=\"\" class=\"wp-image-541750\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-316.png 340w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-316-208x300.png 208w\" sizes=\"auto, (max-width: 340px) 100vw, 340px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"667\" height=\"50\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-317.gif\" alt=\"\" class=\"wp-image-541751\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"320\" height=\"186\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-318.png\" alt=\"\" class=\"wp-image-541752\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-318.png 320w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-318-300x174.png 300w\" sizes=\"auto, (max-width: 320px) 100vw, 320px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"342\" height=\"461\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-319.png\" alt=\"\" class=\"wp-image-541753\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-319.png 342w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-319-223x300.png 223w\" sizes=\"auto, (max-width: 342px) 100vw, 342px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"693\" height=\"46\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-320.gif\" alt=\"\" class=\"wp-image-541754\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"309\" height=\"254\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-321.png\" alt=\"\" class=\"wp-image-541755\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-321.png 309w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-321-300x247.png 300w\" sizes=\"auto, (max-width: 309px) 100vw, 309px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"343\" height=\"273\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-322.png\" alt=\"\" class=\"wp-image-541756\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-322.png 343w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-322-300x239.png 300w\" sizes=\"auto, (max-width: 343px) 100vw, 343px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"673\" height=\"50\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-323.gif\" alt=\"\" class=\"wp-image-541757\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"343\" height=\"442\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-324.png\" alt=\"\" class=\"wp-image-541758\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-324.png 343w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-324-233x300.png 233w\" sizes=\"auto, (max-width: 343px) 100vw, 343px\" \/><\/figure>\n\n\n\n<p>Exercise 11.7 Page No: 11.103<\/p>\n\n\n\n<p><strong>Find dy\/dx, when<\/strong><\/p>\n\n\n\n<p><strong>1. x = at<sup>2<\/sup>&nbsp;and y = 2 at<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"432\" height=\"304\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-325.png\" alt=\"\" class=\"wp-image-541759\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-325.png 432w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-325-300x211.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-325-400x281.png 400w\" sizes=\"auto, (max-width: 432px) 100vw, 432px\" \/><\/figure>\n\n\n\n<p><strong>2. x = a (\u03b8 + sin \u03b8) and y = a (1 \u2013 cos \u03b8)<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"440\" height=\"381\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-326.png\" alt=\"\" class=\"wp-image-541760\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-326.png 440w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-326-300x260.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-326-400x346.png 400w\" sizes=\"auto, (max-width: 440px) 100vw, 440px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"280\" height=\"586\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-327.png\" alt=\"\" class=\"wp-image-541761\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-327.png 280w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-327-143x300.png 143w\" sizes=\"auto, (max-width: 280px) 100vw, 280px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"207\" height=\"97\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-328.png\" alt=\"\" class=\"wp-image-541762\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>3. x = a cos \u03b8 and y = b sin \u03b8<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Given x = a cos \u03b8 and y = b sin \u03b8<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"394\" height=\"305\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-329.png\" alt=\"\" class=\"wp-image-541763\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-329.png 394w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-329-300x232.png 300w\" sizes=\"auto, (max-width: 394px) 100vw, 394px\" \/><\/figure>\n\n\n\n<p><strong>4. x = a e<sup>\u03b8<\/sup>&nbsp;(sin \u03b8 \u2013 cos \u03b8), y = a e<sup>\u03b8<\/sup>&nbsp;(sin \u03b8 + cos \u03b8)<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"403\" height=\"521\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-330.png\" alt=\"\" class=\"wp-image-541764\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-330.png 403w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-330-232x300.png 232w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-330-400x517.png 400w\" sizes=\"auto, (max-width: 403px) 100vw, 403px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"140\" height=\"110\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-331.png\" alt=\"\" class=\"wp-image-541765\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>5. x = b sin<sup>2<\/sup>&nbsp;\u03b8 and y = a cos<sup>2<\/sup>&nbsp;\u03b8<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"501\" height=\"337\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-332.png\" alt=\"\" class=\"wp-image-541766\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-332.png 501w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-332-300x202.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-332-400x269.png 400w\" sizes=\"auto, (max-width: 501px) 100vw, 501px\" \/><\/figure>\n\n\n\n<p><strong>6. x = a (1 \u2013 cos \u03b8) and y = a (\u03b8 + sin \u03b8) at \u03b8 = \u03c0\/2<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"326\" height=\"392\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-333.png\" alt=\"\" class=\"wp-image-541767\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-333.png 326w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-333-249x300.png 249w\" sizes=\"auto, (max-width: 326px) 100vw, 326px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"271\" height=\"197\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-334.png\" alt=\"\" class=\"wp-image-541769\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"290\" height=\"43\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-335.gif\" alt=\"\" class=\"wp-image-541768\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"384\" height=\"554\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-336.png\" alt=\"\" class=\"wp-image-541770\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-336.png 384w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-336-208x300.png 208w\" sizes=\"auto, (max-width: 384px) 100vw, 384px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"228\" height=\"284\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-337.png\" alt=\"\" class=\"wp-image-541771\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"255\" height=\"45\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-338.gif\" alt=\"\" class=\"wp-image-541772\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"526\" height=\"468\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-339.png\" alt=\"\" class=\"wp-image-541773\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-339.png 526w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-339-300x267.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-339-400x356.png 400w\" sizes=\"auto, (max-width: 526px) 100vw, 526px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"520\" height=\"526\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-340.png\" alt=\"\" class=\"wp-image-541774\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-340.png 520w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-340-297x300.png 297w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-340-400x405.png 400w\" sizes=\"auto, (max-width: 520px) 100vw, 520px\" \/><\/figure>\n\n\n\n<p><strong>9. x = a (cos \u03b8 + \u03b8 sin \u03b8) and y = a (sin \u03b8 \u2013 \u03b8 cos \u03b8)<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"308\" height=\"269\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-341.png\" alt=\"\" class=\"wp-image-541775\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-341.png 308w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-341-300x262.png 300w\" sizes=\"auto, (max-width: 308px) 100vw, 308px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"317\" height=\"380\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-342.png\" alt=\"\" class=\"wp-image-541776\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-342.png 317w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-342-250x300.png 250w\" sizes=\"auto, (max-width: 317px) 100vw, 317px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"367\" height=\"45\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-343.gif\" alt=\"\" class=\"wp-image-541777\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"476\" height=\"316\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-344.png\" alt=\"\" class=\"wp-image-541778\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-344.png 476w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-344-300x199.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-344-400x266.png 400w\" sizes=\"auto, (max-width: 476px) 100vw, 476px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"466\" height=\"627\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-345.png\" alt=\"\" class=\"wp-image-541779\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-345.png 466w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-345-223x300.png 223w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-345-400x538.png 400w\" sizes=\"auto, (max-width: 466px) 100vw, 466px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"264\" height=\"45\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-346.gif\" alt=\"\" class=\"wp-image-541780\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"414\" height=\"75\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-347.png\" alt=\"\" class=\"wp-image-541781\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-347.png 414w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-347-300x54.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-347-400x72.png 400w\" sizes=\"auto, (max-width: 414px) 100vw, 414px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"423\" height=\"653\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-348.png\" alt=\"\" class=\"wp-image-541782\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-348.png 423w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-348-194x300.png 194w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-348-400x617.png 400w\" sizes=\"auto, (max-width: 423px) 100vw, 423px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"364\" height=\"234\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-349.png\" alt=\"\" class=\"wp-image-541783\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-349.png 364w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-349-300x193.png 300w\" sizes=\"auto, (max-width: 364px) 100vw, 364px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"362\" height=\"59\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-350.png\" alt=\"\" class=\"wp-image-541784\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-350.png 362w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-350-300x49.png 300w\" sizes=\"auto, (max-width: 362px) 100vw, 362px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"449\" height=\"44\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-351.gif\" alt=\"\" class=\"wp-image-541785\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"398\" height=\"644\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-352.png\" alt=\"\" class=\"wp-image-541786\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-352.png 398w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-352-185x300.png 185w\" sizes=\"auto, (max-width: 398px) 100vw, 398px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"317\" height=\"451\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-353.png\" alt=\"\" class=\"wp-image-541787\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-353.png 317w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-353-211x300.png 211w\" sizes=\"auto, (max-width: 317px) 100vw, 317px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"265\" height=\"45\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-354.gif\" alt=\"\" class=\"wp-image-541788\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"416\" height=\"227\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-355.png\" alt=\"\" class=\"wp-image-541789\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-355.png 416w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-355-300x164.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-355-400x218.png 400w\" sizes=\"auto, (max-width: 416px) 100vw, 416px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"420\" height=\"633\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-356.png\" alt=\"\" class=\"wp-image-541790\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-356.png 420w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-356-199x300.png 199w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-356-400x603.png 400w\" sizes=\"auto, (max-width: 420px) 100vw, 420px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"715\" height=\"45\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-357.gif\" alt=\"\" class=\"wp-image-541791\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p>Solution:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"407\" height=\"152\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-358.png\" alt=\"\" class=\"wp-image-541792\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-358.png 407w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-358-300x112.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-358-400x149.png 400w\" sizes=\"auto, (max-width: 407px) 100vw, 407px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"428\" height=\"648\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-359.png\" alt=\"\" class=\"wp-image-541793\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-359.png 428w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-359-198x300.png 198w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-359-400x606.png 400w\" sizes=\"auto, (max-width: 428px) 100vw, 428px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"327\" height=\"368\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-360.png\" alt=\"\" class=\"wp-image-541794\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-360.png 327w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-360-267x300.png 267w\" sizes=\"auto, (max-width: 327px) 100vw, 327px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"186\" height=\"222\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-361.png\" alt=\"\" class=\"wp-image-541795\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p>Exercise 11.8 Page No: 11.112<\/p>\n\n\n\n<p><strong>1. Differentiate x<sup>2<\/sup>&nbsp;with respect to x<sup>3<\/sup>.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"453\" height=\"609\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-362.png\" alt=\"\" class=\"wp-image-541796\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-362.png 453w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-362-223x300.png 223w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-362-400x538.png 400w\" sizes=\"auto, (max-width: 453px) 100vw, 453px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"124\" height=\"158\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-363.png\" alt=\"\" class=\"wp-image-541797\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"111\" height=\"49\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-364.png\" alt=\"\" class=\"wp-image-541798\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>2. Differentiate log (1 +x<sup>2<\/sup>) with respect to tan<sup>-1<\/sup>&nbsp;x.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"458\" height=\"623\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-365.png\" alt=\"\" class=\"wp-image-541799\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-365.png 458w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-365-221x300.png 221w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-365-400x544.png 400w\" sizes=\"auto, (max-width: 458px) 100vw, 458px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"109\" height=\"53\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-366.png\" alt=\"\" class=\"wp-image-541800\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"208\" height=\"319\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-367.png\" alt=\"\" class=\"wp-image-541802\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-367.png 208w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-367-196x300.png 196w\" sizes=\"auto, (max-width: 208px) 100vw, 208px\" \/><\/figure>\n\n\n\n<p><strong>3. Differentiate (log x)<sup>x<\/sup>&nbsp;with respect to log x.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"451\" height=\"458\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-368.png\" alt=\"\" class=\"wp-image-541801\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-368.png 451w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-368-295x300.png 295w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-368-400x406.png 400w\" sizes=\"auto, (max-width: 451px) 100vw, 451px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"407\" height=\"602\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-369.png\" alt=\"\" class=\"wp-image-541803\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-369.png 407w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-369-203x300.png 203w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-369-400x592.png 400w\" sizes=\"auto, (max-width: 407px) 100vw, 407px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"307\" height=\"213\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-370.png\" alt=\"\" class=\"wp-image-541804\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-370.png 307w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-370-300x208.png 300w\" sizes=\"auto, (max-width: 307px) 100vw, 307px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"326\" height=\"164\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-371.png\" alt=\"\" class=\"wp-image-541805\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-371.png 326w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-371-300x151.png 300w\" sizes=\"auto, (max-width: 326px) 100vw, 326px\" \/><\/figure>\n\n\n\n<p><strong>4. Differentiate sin<sup>-1<\/sup>&nbsp;\u221a (1-x<sup>2<\/sup>) with respect to cos<sup>-1<\/sup>x, if<\/strong><\/p>\n\n\n\n<p><strong>(i) x \u2208 (0, 1)<\/strong><\/p>\n\n\n\n<p><strong>(ii) x \u2208 (-1, 0)<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>(i) Given sin<sup>-1<\/sup>&nbsp;\u221a (1-x<sup>2<\/sup>)<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"454\" height=\"521\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-372.png\" alt=\"\" class=\"wp-image-541806\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-372.png 454w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-372-261x300.png 261w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-372-400x459.png 400w\" sizes=\"auto, (max-width: 454px) 100vw, 454px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"390\" height=\"614\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-373.png\" alt=\"\" class=\"wp-image-541807\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-373.png 390w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-373-191x300.png 191w\" sizes=\"auto, (max-width: 390px) 100vw, 390px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"106\" height=\"101\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-374.png\" alt=\"\" class=\"wp-image-541808\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p>(ii) Given sin<sup>-1<\/sup>&nbsp;\u221a (1-x<sup>2<\/sup>)<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"486\" height=\"94\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-375.png\" alt=\"\" class=\"wp-image-541809\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-375.png 486w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-375-300x58.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-375-400x77.png 400w\" sizes=\"auto, (max-width: 486px) 100vw, 486px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"488\" height=\"612\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-376.png\" alt=\"\" class=\"wp-image-541810\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-376.png 488w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-376-239x300.png 239w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-376-400x502.png 400w\" sizes=\"auto, (max-width: 488px) 100vw, 488px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"320\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-377.png\" alt=\"\" class=\"wp-image-541811\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-377.png 500w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-377-300x192.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-377-400x256.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"392\" height=\"489\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-378.png\" alt=\"\" class=\"wp-image-541812\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-378.png 392w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-378-240x300.png 240w\" sizes=\"auto, (max-width: 392px) 100vw, 392px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"614\" height=\"34\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-379.gif\" alt=\"\" class=\"wp-image-541813\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"183\" height=\"45\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-380.gif\" alt=\"\" class=\"wp-image-541814\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"146\" height=\"45\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-381.gif\" alt=\"\" class=\"wp-image-541815\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"186\" height=\"45\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-382.gif\" alt=\"\" class=\"wp-image-541816\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>(i) Let<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"447\" height=\"88\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-383.png\" alt=\"\" class=\"wp-image-541817\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-383.png 447w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-383-300x59.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-383-400x79.png 400w\" sizes=\"auto, (max-width: 447px) 100vw, 447px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"388\" height=\"612\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-384.png\" alt=\"\" class=\"wp-image-541818\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-384.png 388w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-384-190x300.png 190w\" sizes=\"auto, (max-width: 388px) 100vw, 388px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"358\" height=\"268\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-385.png\" alt=\"\" class=\"wp-image-541819\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-385.png 358w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-385-300x225.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-385-200x150.png 200w\" sizes=\"auto, (max-width: 358px) 100vw, 358px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"497\" height=\"617\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-386.png\" alt=\"\" class=\"wp-image-541820\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-386.png 497w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-386-242x300.png 242w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-386-400x497.png 400w\" sizes=\"auto, (max-width: 497px) 100vw, 497px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"351\" height=\"252\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-387.png\" alt=\"\" class=\"wp-image-541821\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-387.png 351w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-387-300x215.png 300w\" sizes=\"auto, (max-width: 351px) 100vw, 351px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"452\" height=\"636\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-388.png\" alt=\"\" class=\"wp-image-541822\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-388.png 452w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-388-213x300.png 213w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-388-400x563.png 400w\" sizes=\"auto, (max-width: 452px) 100vw, 452px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"128\" height=\"99\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-389.png\" alt=\"\" class=\"wp-image-541823\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p>(ii) Let<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"456\" height=\"85\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-390.png\" alt=\"\" class=\"wp-image-541824\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-390.png 456w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-390-300x56.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-390-400x75.png 400w\" sizes=\"auto, (max-width: 456px) 100vw, 456px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"498\" height=\"606\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-391.png\" alt=\"\" class=\"wp-image-541825\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-391.png 498w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-391-247x300.png 247w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-391-400x487.png 400w\" sizes=\"auto, (max-width: 498px) 100vw, 498px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"349\" height=\"210\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-392.png\" alt=\"\" class=\"wp-image-541826\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-392.png 349w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-392-300x181.png 300w\" sizes=\"auto, (max-width: 349px) 100vw, 349px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"505\" height=\"629\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-393.png\" alt=\"\" class=\"wp-image-541827\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-393.png 505w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-393-241x300.png 241w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-393-400x498.png 400w\" sizes=\"auto, (max-width: 505px) 100vw, 505px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"291\" height=\"334\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-394.png\" alt=\"\" class=\"wp-image-541828\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-394.png 291w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-394-261x300.png 261w\" sizes=\"auto, (max-width: 291px) 100vw, 291px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"279\" height=\"173\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-395.png\" alt=\"\" class=\"wp-image-541829\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p>(iii) Let<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"459\" height=\"645\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-396.png\" alt=\"\" class=\"wp-image-541830\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-396.png 459w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-396-213x300.png 213w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-396-400x562.png 400w\" sizes=\"auto, (max-width: 459px) 100vw, 459px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"505\" height=\"623\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-397.png\" alt=\"\" class=\"wp-image-541831\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-397.png 505w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-397-243x300.png 243w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-397-400x493.png 400w\" sizes=\"auto, (max-width: 505px) 100vw, 505px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"221\" height=\"288\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-398.png\" alt=\"\" class=\"wp-image-541832\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"265\" height=\"456\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-399.png\" alt=\"\" class=\"wp-image-541833\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-399.png 265w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-399-174x300.png 174w\" sizes=\"auto, (max-width: 265px) 100vw, 265px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"879\" height=\"55\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-400.gif\" alt=\"\" class=\"wp-image-541834\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"459\" height=\"263\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-401.png\" alt=\"\" class=\"wp-image-541835\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-401.png 459w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-401-300x172.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-401-400x229.png 400w\" sizes=\"auto, (max-width: 459px) 100vw, 459px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"401\" height=\"612\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-402.png\" alt=\"\" class=\"wp-image-541836\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-402.png 401w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-402-197x300.png 197w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-402-400x610.png 400w\" sizes=\"auto, (max-width: 401px) 100vw, 401px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"241\" height=\"312\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-403.png\" alt=\"\" class=\"wp-image-541837\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-403.png 241w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-403-232x300.png 232w\" sizes=\"auto, (max-width: 241px) 100vw, 241px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"357\" height=\"614\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-404.png\" alt=\"\" class=\"wp-image-541838\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-404.png 357w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-404-174x300.png 174w\" sizes=\"auto, (max-width: 357px) 100vw, 357px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"330\" height=\"248\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-405.png\" alt=\"\" class=\"wp-image-541839\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-405.png 330w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-405-300x225.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-405-200x150.png 200w\" sizes=\"auto, (max-width: 330px) 100vw, 330px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"347\" height=\"590\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-406.png\" alt=\"\" class=\"wp-image-541840\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-406.png 347w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-406-176x300.png 176w\" sizes=\"auto, (max-width: 347px) 100vw, 347px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"212\" height=\"323\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-407.png\" alt=\"\" class=\"wp-image-541841\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-407.png 212w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-407-197x300.png 197w\" sizes=\"auto, (max-width: 212px) 100vw, 212px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"104\" height=\"96\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-408.png\" alt=\"\" class=\"wp-image-541842\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"678\" height=\"45\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-409.gif\" alt=\"\" class=\"wp-image-541843\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>(i) x \u2208 (0, 1\/ \u221a2)<\/strong><\/p>\n\n\n\n<p><strong>(ii) x \u2208 (1\/\u221a2, 1)<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>(i) Let<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"446\" height=\"595\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-410.png\" alt=\"\" class=\"wp-image-541844\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-410.png 446w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-410-225x300.png 225w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-410-300x400.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-410-150x200.png 150w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-410-400x534.png 400w\" sizes=\"auto, (max-width: 446px) 100vw, 446px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"369\" height=\"614\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-411.png\" alt=\"\" class=\"wp-image-541845\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-411.png 369w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-411-180x300.png 180w\" sizes=\"auto, (max-width: 369px) 100vw, 369px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"232\" height=\"312\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-412.png\" alt=\"\" class=\"wp-image-541846\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-412.png 232w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-412-223x300.png 223w\" sizes=\"auto, (max-width: 232px) 100vw, 232px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"368\" height=\"607\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-413.png\" alt=\"\" class=\"wp-image-541847\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-413.png 368w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-413-182x300.png 182w\" sizes=\"auto, (max-width: 368px) 100vw, 368px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"103\" height=\"46\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-414.png\" alt=\"\" class=\"wp-image-541848\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p>(ii) Let<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"448\" height=\"169\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-415.png\" alt=\"\" class=\"wp-image-541849\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-415.png 448w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-415-300x113.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-415-400x151.png 400w\" sizes=\"auto, (max-width: 448px) 100vw, 448px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"385\" height=\"597\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-416.png\" alt=\"\" class=\"wp-image-541850\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-416.png 385w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-416-193x300.png 193w\" sizes=\"auto, (max-width: 385px) 100vw, 385px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"165\" height=\"247\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-417.png\" alt=\"\" class=\"wp-image-541851\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"488\" height=\"602\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-418.png\" alt=\"\" class=\"wp-image-541852\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-418.png 488w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-418-243x300.png 243w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-418-400x493.png 400w\" sizes=\"auto, (max-width: 488px) 100vw, 488px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"246\" height=\"233\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-419.png\" alt=\"\" class=\"wp-image-541853\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"243\" height=\"260\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-420.png\" alt=\"\" class=\"wp-image-541854\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>8. Differentiate (cos x)<sup>sin x<\/sup>&nbsp;with respect to (sin x)<sup>cos x<\/sup>.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"490\" height=\"531\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-421.png\" alt=\"\" class=\"wp-image-541855\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-421.png 490w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-421-277x300.png 277w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-421-400x433.png 400w\" sizes=\"auto, (max-width: 490px) 100vw, 490px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"539\" height=\"621\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-422.png\" alt=\"\" class=\"wp-image-541856\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-422.png 539w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-422-260x300.png 260w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-422-400x461.png 400w\" sizes=\"auto, (max-width: 539px) 100vw, 539px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"503\" height=\"288\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-423.png\" alt=\"\" class=\"wp-image-541857\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-423.png 503w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-423-300x172.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-423-400x229.png 400w\" sizes=\"auto, (max-width: 503px) 100vw, 503px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"474\" height=\"620\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-424.png\" alt=\"\" class=\"wp-image-541858\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-424.png 474w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-424-229x300.png 229w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-424-400x523.png 400w\" sizes=\"auto, (max-width: 474px) 100vw, 474px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"379\" height=\"119\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-425.png\" alt=\"\" class=\"wp-image-541859\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-425.png 379w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-425-300x94.png 300w\" sizes=\"auto, (max-width: 379px) 100vw, 379px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"725\" height=\"48\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-426.gif\" alt=\"\" class=\"wp-image-541860\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"450\" height=\"637\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-427.png\" alt=\"\" class=\"wp-image-541861\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-427.png 450w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-427-212x300.png 212w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-427-400x566.png 400w\" sizes=\"auto, (max-width: 450px) 100vw, 450px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"234\" height=\"204\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-428.png\" alt=\"\" class=\"wp-image-541862\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"435\" height=\"611\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-429.png\" alt=\"\" class=\"wp-image-541863\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-429.png 435w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-429-214x300.png 214w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-429-400x562.png 400w\" sizes=\"auto, (max-width: 435px) 100vw, 435px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"263\" height=\"229\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-430.png\" alt=\"\" class=\"wp-image-541864\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"354\" height=\"628\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-431.png\" alt=\"\" class=\"wp-image-541865\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-431.png 354w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-431-169x300.png 169w\" sizes=\"auto, (max-width: 354px) 100vw, 354px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"212\" height=\"169\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-432.png\" alt=\"\" class=\"wp-image-541866\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\"\/><\/figure>\n\n\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"471\" height=\"636\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-434.png\" alt=\"\" class=\"wp-image-541867\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-434.png 471w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-434-222x300.png 222w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-434-400x540.png 400w\" sizes=\"auto, (max-width: 471px) 100vw, 471px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"470\" height=\"102\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-435.png\" alt=\"\" class=\"wp-image-541869\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-435.png 470w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-435-300x65.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-435-400x87.png 400w\" sizes=\"auto, (max-width: 470px) 100vw, 470px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"369\" height=\"630\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-436.png\" alt=\"\" class=\"wp-image-541868\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-436.png 369w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-436-176x300.png 176w\" sizes=\"auto, (max-width: 369px) 100vw, 369px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"452\" height=\"168\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-437.png\" alt=\"\" class=\"wp-image-541870\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-437.png 452w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-437-300x112.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-437-400x149.png 400w\" sizes=\"auto, (max-width: 452px) 100vw, 452px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"284\" height=\"524\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-438.png\" alt=\"\" class=\"wp-image-541871\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-438.png 284w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-438-163x300.png 163w\" sizes=\"auto, (max-width: 284px) 100vw, 284px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-rd-sharma-solutions-for-class-12-maths-chapter-11-download-pdf\">RD Sharma Solutions for Class 12 Maths Chapter 11:&nbsp;<strong>Download PDF<\/strong><\/h2>\n\n\n\n<p>RD Sharma Solutions for Class 12 Maths Chapter 11\u2013Differentiation<\/p>\n\n\n\n<p><a href=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/RD-Sharma-Solutions-for-Class-12-Maths-Chapter-11\u2013Differentiation.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Download PDF<\/strong>: RD Sharma Solutions for Class 12 Maths Chapter 11\u2013Differentiation PDF<\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-chapterwise-rd-sharma-solutions-for-class-12-maths\"><strong>Chapterwise RD Sharma Solutions for Class 12&nbsp;Maths :<\/strong><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-1-relation\/\">Chapter 1\u2013Relation<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-2-functions\/\">Chapter 2\u2013Functions<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-3-binary-operations\/\">Chapter 3\u2013Binary Operations<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-4-inverse-trigonometric-functions\/\">Chapter 4\u2013Inverse Trigonometric Functions<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-5-algebra-of-matrices\/\">Chapter 5\u2013Algebra of Matrices<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-6-determinants\/\">Chapter 6\u2013Determinants<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-7-adjoint-and-inverse-of-a-matrix\/\">Chapter 7\u2013Adjoint and Inverse of a Matrix<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-8-solution-of-simultaneous-linear-equations\/\">Chapter 8\u2013Solution of Simultaneous Linear Equations<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-9-continuity\/\">Chapter 9\u2013Continuity<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-10-differentiability\/\">Chapter 10\u2013Differentiability<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-11-differentiation\/\">Chapter 11\u2013Differentiation<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives\/\">Chapter 12\u2013Higher Order Derivatives<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-13-derivatives-as-a-rate-measurer\/\">Chapter 13\u2013Derivatives as a Rate Measurer<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-14-differentials-errors-and-approximations\/\">Chapter 14\u2013Differentials, Errors and Approximations<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-15-mean-value-theorems\/\">Chapter 15\u2013Mean Value Theorems<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-16-tangents-and-normals\/\">Chapter 16\u2013Tangents and Normals<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-17-increasing-and-decreasing-functions\/\">Chapter 17\u2013Increasing and Decreasing Functions<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-18-maxima-and-minima\/\">Chapter 18\u2013Maxima and Minima<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-19-indefinite-integrals\/\">Chapter 19\u2013Indefinite Integrals<\/a><\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">About RD Sharma<\/h2>\n\n\n\n<p>RD Sharma i<em>sn&#8217;t the kind of author you&#8217;d bump into at lit fests. But his bestselling books have helped many&nbsp;<\/em>CBSE<em>&nbsp;students lose their dread of&nbsp;<\/em>maths<em>. Sunday Times profiles the tutor turned internet star<\/em><br>He dreams of algorithms that would give most people nightmares. And, spends every waking hour thinking of ways to explain concepts like &#8216;series solution of linear differential equations&#8217;. Meet Dr&nbsp;Ravi Dutt Sharma&nbsp;\u2014&nbsp;mathematics&nbsp;teacher and author of 25 reference books \u2014 whose name evokes as much awe as the subject he teaches. And though students have used his thick tomes for the last 31 years to ace the dreaded maths exam, it&#8217;s only recently that a spoof video turned the tutor into a YouTube star.<\/p>\n\n\n\n<p>R D Sharma had a good laugh but said he shared little with his on-screen persona except for the love for maths. &#8220;I like to spend all my time thinking and writing about maths problems. I find it relaxing,&#8221; he says. When he is not writing books explaining mathematical concepts for classes 6 to 12 and engineering students, Sharma is busy dispensing his duty as vice-principal and head of department of science and humanities at Delhi government&#8217;s Guru Nanak Dev Institute of Technology.<\/p>\n\n\n\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-background wp-element-button\" href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions\/\" style=\"background-color:#cd5c5c\" target=\"_blank\" rel=\"noreferrer noopener\">RD Sharma Solutions<\/a><\/div>\n\n\n\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-background wp-element-button\" href=\"https:\/\/www.indcareer.com\/schools\/ncert-class-xii\/\" style=\"background-color:#cd5c5c\" target=\"_blank\" rel=\"noreferrer noopener\">NCERT Class 12 Solutions<\/a><\/div>\n\n\n\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-background wp-element-button\" href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-class-12\/\" style=\"background-color:#cd5c5c\" target=\"_blank\" rel=\"noreferrer noopener\">RD Sharma Class 12 <strong>Solutions<\/strong><\/a><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Class 12: Maths Chapter 11 solutions. Complete Class 12 Maths Chapter 11 Notes. RD Sharma Solutions for Class 12 Maths Chapter 11\u2013Differentiation RD Sharma 12th Maths Chapter 11, Class 12 Maths Chapter 11 solutions Exercise 11.1 Page No: 11.17 Differentiate the following functions from the first principles: 1. e-x Solution: 2. e3x Solution: 3. eax [&hellip;]<\/p>\n","protected":false},"author":302,"featured_media":542015,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"newspack_featured_image_position":"","newspack_post_subtitle":"","newspack_article_summary_title":"Overview:","newspack_article_summary":"","newspack_hide_updated_date":false,"newspack_show_updated_date":false,"footnotes":""},"categories":[1411,25],"tags":[1961],"boards":[],"class_list":["post-541430","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-book-solutions","category-class-12","tag-rd-sharma-solutions-vol-1","entry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.0 (Yoast SEO v27.1.1) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>RD Sharma Solutions for Class 12 Maths Chapter 11\u2013Differentiation - IndCareer Schools<\/title>\n<meta name=\"description\" content=\"Class 12: Maths Chapter 11 solutions. 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RD Sharma Solutions for Class 12 Maths Chapter 11\u2013Differentiation RD\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-11-differentiation\/\" \/>\n<meta property=\"og:site_name\" content=\"IndCareer Schools\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/indcareer\" \/>\n<meta property=\"article:published_time\" content=\"2021-09-27T07:54:18+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2022-12-26T09:31:59+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/class12-m11-1.png\" \/>\n\t<meta property=\"og:image:width\" content=\"1200\" \/>\n\t<meta property=\"og:image:height\" content=\"675\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"author\" content=\"Pooja\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@indcareer\" \/>\n<meta name=\"twitter:site\" content=\"@indcareer\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Pooja\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"95 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-11-differentiation\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-11-differentiation\/\"},\"author\":{\"name\":\"Pooja\",\"@id\":\"https:\/\/www.indcareer.com\/schools\/#\/schema\/person\/d6945cf059726f162259ba738092301e\"},\"headline\":\"RD Sharma Solutions for Class 12 Maths Chapter 11\u2013Differentiation\",\"datePublished\":\"2021-09-27T07:54:18+00:00\",\"dateModified\":\"2022-12-26T09:31:59+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-11-differentiation\/\"},\"wordCount\":1287,\"publisher\":{\"@id\":\"https:\/\/www.indcareer.com\/schools\/#organization\"},\"image\":{\"@id\":\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-11-differentiation\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/class12-m11-1.png\",\"keywords\":[\"RD Sharma Solutions Vol 1\"],\"articleSection\":[\"Book Solutions\",\"Class 12\"],\"inLanguage\":\"en-US\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-11-differentiation\/\",\"url\":\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-11-differentiation\/\",\"name\":\"RD Sharma Solutions for Class 12 Maths Chapter 11\u2013Differentiation - IndCareer Schools\",\"isPartOf\":{\"@id\":\"https:\/\/www.indcareer.com\/schools\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-11-differentiation\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-11-differentiation\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/class12-m11-1.png\",\"datePublished\":\"2021-09-27T07:54:18+00:00\",\"dateModified\":\"2022-12-26T09:31:59+00:00\",\"description\":\"Class 12: Maths Chapter 11 solutions. 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