{"id":541874,"date":"2021-09-27T08:33:21","date_gmt":"2021-09-27T08:33:21","guid":{"rendered":"https:\/\/www.indcareer.com\/schools\/?p=541874"},"modified":"2022-12-26T09:33:10","modified_gmt":"2022-12-26T09:33:10","slug":"rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives","status":"publish","type":"post","link":"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives\/","title":{"rendered":"RD Sharma Solutions for Class 12 Maths Chapter 12\u2013Higher Order Derivatives"},"content":{"rendered":"\n<p><meta http-equiv=\"content-type\" content=\"text\/html; charset=utf-8\">Class 12: Maths Chapter 12 solutions. Complete Class 12 Maths Chapter 12 Notes.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives\">RD Sharma Solutions for Class 12 Maths Chapter 12\u2013Higher Order Derivatives<\/h2>\n\n\n\n<p><meta http-equiv=\"content-type\" content=\"text\/html; charset=utf-8\">RD Sharma 12th Maths Chapter 12, Class 12 Maths Chapter 12 solutions<\/p>\n\n\n\n<p>Exercise 12.1 Page No: 12.17<\/p>\n\n\n\n<p><strong>1. Find the second order derivatives of the each of the following functions:<\/strong><\/p>\n\n\n\n<p><strong>(i) x<sup>3<\/sup>&nbsp;+ tan 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=\"430\" height=\"528\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-1.png\" alt=\"\" class=\"wp-image-541878\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-1.png 430w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-1-244x300.png 244w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-1-400x491.png 400w\" sizes=\"auto, (max-width: 430px) 100vw, 430px\" \/><\/figure>\n\n\n\n<p><strong>(ii) Sin (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=\"375\" height=\"165\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-2.png\" alt=\"\" class=\"wp-image-541879\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-2.png 375w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-2-300x132.png 300w\" sizes=\"auto, (max-width: 375px) 100vw, 375px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"420\" height=\"614\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-3.png\" alt=\"\" class=\"wp-image-541880\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-3.png 420w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-3-205x300.png 205w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-3-400x585.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=\"281\" height=\"58\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-4.png\" alt=\"\" class=\"wp-image-541881\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\"\/><\/figure>\n\n\n\n<p><strong>(iii) 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=\"164\" height=\"79\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-5.png\" alt=\"\" class=\"wp-image-541882\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"377\" height=\"622\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-6.png\" alt=\"\" class=\"wp-image-541883\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-6.png 377w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-6-182x300.png 182w\" sizes=\"auto, (max-width: 377px) 100vw, 377px\" \/><\/figure>\n\n\n\n<p><strong>(iv) e<sup>x<\/sup>&nbsp;sin 5x<\/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=\"205\" height=\"136\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-7.png\" alt=\"\" class=\"wp-image-541884\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"548\" height=\"640\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-8.png\" alt=\"\" class=\"wp-image-541885\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-8.png 548w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-8-257x300.png 257w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-8-400x467.png 400w\" sizes=\"auto, (max-width: 548px) 100vw, 548px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"421\" height=\"93\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-9.png\" alt=\"\" class=\"wp-image-541886\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-9.png 421w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-9-300x66.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-9-400x88.png 400w\" sizes=\"auto, (max-width: 421px) 100vw, 421px\" \/><\/figure>\n\n\n\n<p><strong>(v) e<sup>6x&nbsp;<\/sup>cos 3x<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Let, y = e<sup>6x<\/sup>&nbsp;cos 3x<\/p>\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-12-higher-order-derivatives-image-10.png\" alt=\"\" class=\"wp-image-541887\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-10.png 452w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-10-213x300.png 213w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-10-400x563.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=\"613\" height=\"204\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-11.png\" alt=\"\" class=\"wp-image-541888\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-11.png 613w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-11-300x100.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-11-400x133.png 400w\" sizes=\"auto, (max-width: 613px) 100vw, 613px\" \/><\/figure>\n\n\n\n<p><strong>(vi) x<sup>3<\/sup>&nbsp;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=\"389\" height=\"639\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-12.png\" alt=\"\" class=\"wp-image-541889\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-12.png 389w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-12-183x300.png 183w\" sizes=\"auto, (max-width: 389px) 100vw, 389px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"323\" height=\"146\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-13.png\" alt=\"\" class=\"wp-image-541890\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-13.png 323w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-13-300x136.png 300w\" sizes=\"auto, (max-width: 323px) 100vw, 323px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"349\" height=\"218\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-14.png\" alt=\"\" class=\"wp-image-541891\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-14.png 349w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-14-300x187.png 300w\" sizes=\"auto, (max-width: 349px) 100vw, 349px\" \/><\/figure>\n\n\n\n<p><strong>(vii) tan<sup>-1<\/sup>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=\"379\" height=\"609\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-15.png\" alt=\"\" class=\"wp-image-541892\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-15.png 379w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-15-187x300.png 187w\" 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=\"349\" height=\"100\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-16.png\" alt=\"\" class=\"wp-image-541893\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-16.png 349w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-16-300x86.png 300w\" sizes=\"auto, (max-width: 349px) 100vw, 349px\" \/><\/figure>\n\n\n\n<p><strong>(viii) x cos 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=\"378\" height=\"636\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-17.png\" alt=\"\" class=\"wp-image-541894\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-17.png 378w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-17-178x300.png 178w\" sizes=\"auto, (max-width: 378px) 100vw, 378px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"348\" height=\"314\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-18.png\" alt=\"\" class=\"wp-image-541895\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-18.png 348w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-18-300x271.png 300w\" sizes=\"auto, (max-width: 348px) 100vw, 348px\" \/><\/figure>\n\n\n\n<p><strong>(ix) Log (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=\"378\" height=\"436\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-19.png\" alt=\"\" class=\"wp-image-541896\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-19.png 378w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-19-260x300.png 260w\" sizes=\"auto, (max-width: 378px) 100vw, 378px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"349\" height=\"362\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-20.png\" alt=\"\" class=\"wp-image-541897\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-20.png 349w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-20-289x300.png 289w\" 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=\"432\" height=\"43\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-21.gif\" alt=\"\" class=\"wp-image-541898\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\"\/><\/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=\"380\" height=\"392\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-22.png\" alt=\"\" class=\"wp-image-541899\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-22.png 380w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-22-291x300.png 291w\" sizes=\"auto, (max-width: 380px) 100vw, 380px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"541\" height=\"629\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-23.png\" alt=\"\" class=\"wp-image-541900\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-23.png 541w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-23-258x300.png 258w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-23-400x465.png 400w\" sizes=\"auto, (max-width: 541px) 100vw, 541px\" \/><\/figure>\n\n\n\n<p>Hence proved.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"512\" height=\"43\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-24.gif\" alt=\"\" class=\"wp-image-541901\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Given y = x + tan x<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"601\" height=\"609\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-25.png\" alt=\"\" class=\"wp-image-541902\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-25.png 601w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-25-296x300.png 296w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-25-400x405.png 400w\" sizes=\"auto, (max-width: 601px) 100vw, 601px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"416\" height=\"240\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-26.png\" alt=\"\" class=\"wp-image-541903\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-26.png 416w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-26-300x173.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-26-400x231.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=\"356\" height=\"43\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-27.gif\" alt=\"\" class=\"wp-image-541904\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\"\/><\/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=\"397\" height=\"605\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-28.png\" alt=\"\" class=\"wp-image-541905\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-28.png 397w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-28-197x300.png 197w\" 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=\"340\" height=\"153\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-29.png\" alt=\"\" class=\"wp-image-541906\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-29.png 340w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-29-300x135.png 300w\" 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=\"301\" height=\"244\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-30.png\" alt=\"\" class=\"wp-image-541907\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"495\" height=\"43\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-31.gif\" alt=\"\" class=\"wp-image-541908\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\"\/><\/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=\"378\" height=\"460\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-32.png\" alt=\"\" class=\"wp-image-541909\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-32.png 378w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-32-247x300.png 247w\" sizes=\"auto, (max-width: 378px) 100vw, 378px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"427\" height=\"620\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-33.png\" alt=\"\" class=\"wp-image-541910\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-33.png 427w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-33-207x300.png 207w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-33-400x581.png 400w\" sizes=\"auto, (max-width: 427px) 100vw, 427px\" \/><\/figure>\n\n\n\n<p>Hence proved.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"454\" height=\"43\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-34.gif\" alt=\"\" class=\"wp-image-541911\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\"\/><\/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=\"197\" height=\"83\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-35.png\" alt=\"\" class=\"wp-image-541912\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"427\" height=\"553\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-36.png\" alt=\"\" class=\"wp-image-541913\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-36.png 427w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-36-232x300.png 232w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-36-400x518.png 400w\" sizes=\"auto, (max-width: 427px) 100vw, 427px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"410\" height=\"43\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-37.gif\" alt=\"\" class=\"wp-image-541914\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"343\" height=\"586\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-39.png\" alt=\"\" class=\"wp-image-541915\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-39.png 343w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-39-176x300.png 176w\" 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=\"510\" height=\"46\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-40.gif\" alt=\"\" class=\"wp-image-541918\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\"\/><\/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=\"568\" height=\"158\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-41.png\" alt=\"\" class=\"wp-image-541917\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-41.png 568w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-41-300x83.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-41-400x111.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=\"548\" height=\"613\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-42.png\" alt=\"\" class=\"wp-image-541916\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-42.png 548w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-42-268x300.png 268w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-42-400x447.png 400w\" sizes=\"auto, (max-width: 548px) 100vw, 548px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"443\" height=\"230\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-43.png\" alt=\"\" class=\"wp-image-541919\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-43.png 443w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-43-300x156.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-43-400x208.png 400w\" sizes=\"auto, (max-width: 443px) 100vw, 443px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"284\" height=\"333\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-44.png\" alt=\"\" class=\"wp-image-541920\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-44.png 284w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-44-256x300.png 256w\" sizes=\"auto, (max-width: 284px) 100vw, 284px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"514\" height=\"59\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-45.gif\" alt=\"\" class=\"wp-image-541921\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\"\/><\/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=\"562\" height=\"438\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-46.png\" alt=\"\" class=\"wp-image-541922\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-46.png 562w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-46-300x234.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-46-400x312.png 400w\" sizes=\"auto, (max-width: 562px) 100vw, 562px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"455\" height=\"597\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-47.png\" alt=\"\" class=\"wp-image-541923\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-47.png 455w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-47-229x300.png 229w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-47-400x525.png 400w\" sizes=\"auto, (max-width: 455px) 100vw, 455px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"254\" height=\"213\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-48.png\" alt=\"\" class=\"wp-image-541924\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"361\" height=\"346\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-49.png\" alt=\"\" class=\"wp-image-541925\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-49.png 361w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-49-300x288.png 300w\" 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=\"502\" height=\"48\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-50.gif\" alt=\"\" class=\"wp-image-541926\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\"\/><\/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=\"376\" height=\"327\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-51.png\" alt=\"\" class=\"wp-image-541927\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-51.png 376w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-51-300x261.png 300w\" sizes=\"auto, (max-width: 376px) 100vw, 376px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"505\" height=\"597\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-52.png\" alt=\"\" class=\"wp-image-541928\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-52.png 505w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-52-254x300.png 254w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-52-400x473.png 400w\" sizes=\"auto, (max-width: 505px) 100vw, 505px\" \/><\/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-12-higher-order-derivatives-image-53.gif\" alt=\"\" class=\"wp-image-541929\" width=\"494\" height=\"46\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\"\/><\/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=\"561\" height=\"153\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-54.png\" alt=\"\" class=\"wp-image-541930\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-54.png 561w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-54-300x82.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-54-400x109.png 400w\" sizes=\"auto, (max-width: 561px) 100vw, 561px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"580\" height=\"608\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-55.png\" alt=\"\" class=\"wp-image-541931\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-55.png 580w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-55-286x300.png 286w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-55-400x419.png 400w\" sizes=\"auto, (max-width: 580px) 100vw, 580px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"259\" height=\"232\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-56.png\" alt=\"\" class=\"wp-image-541932\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"245\" height=\"372\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-57.png\" alt=\"\" class=\"wp-image-541933\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-57.png 245w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-57-198x300.png 198w\" sizes=\"auto, (max-width: 245px) 100vw, 245px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"630\" height=\"43\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-58.gif\" alt=\"\" class=\"wp-image-541934\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\"\/><\/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=\"560\" height=\"368\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-59.png\" alt=\"\" class=\"wp-image-541935\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-59.png 560w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-59-300x197.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-59-400x263.png 400w\" sizes=\"auto, (max-width: 560px) 100vw, 560px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"552\" height=\"632\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-60.png\" alt=\"\" class=\"wp-image-541936\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-60.png 552w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-60-262x300.png 262w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-60-400x458.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=\"249\" height=\"210\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-61.png\" alt=\"\" class=\"wp-image-541937\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"402\" height=\"268\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-62.png\" alt=\"\" class=\"wp-image-541938\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-62.png 402w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-62-300x200.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-62-400x267.png 400w\" sizes=\"auto, (max-width: 402px) 100vw, 402px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"581\" height=\"46\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-63.gif\" alt=\"\" class=\"wp-image-541939\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\"\/><\/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=\"561\" height=\"456\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-64.png\" alt=\"\" class=\"wp-image-541940\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-64.png 561w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-64-300x244.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-64-400x325.png 400w\" sizes=\"auto, (max-width: 561px) 100vw, 561px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"397\" height=\"648\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-65.png\" alt=\"\" class=\"wp-image-541941\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-65.png 397w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-65-184x300.png 184w\" 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=\"348\" height=\"211\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-66.png\" alt=\"\" class=\"wp-image-541942\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-66.png 348w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-66-300x182.png 300w\" sizes=\"auto, (max-width: 348px) 100vw, 348px\" \/><\/figure>\n\n\n\n<p>Hence proved.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"460\" height=\"43\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-67.gif\" alt=\"\" class=\"wp-image-541943\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\"\/><\/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=\"561\" height=\"642\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-68.png\" alt=\"\" class=\"wp-image-541944\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-68.png 561w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-68-262x300.png 262w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-68-400x458.png 400w\" sizes=\"auto, (max-width: 561px) 100vw, 561px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"403\" height=\"80\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-69.png\" alt=\"\" class=\"wp-image-541946\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-69.png 403w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-69-300x60.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-69-400x79.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=\"426\" height=\"550\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-70.png\" alt=\"\" class=\"wp-image-541945\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-70.png 426w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-70-232x300.png 232w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-70-400x516.png 400w\" sizes=\"auto, (max-width: 426px) 100vw, 426px\" \/><\/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=\"558\" height=\"200\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-72.png\" alt=\"\" class=\"wp-image-541947\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-72.png 558w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-72-300x108.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-72-400x143.png 400w\" sizes=\"auto, (max-width: 558px) 100vw, 558px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"561\" height=\"648\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-73.png\" alt=\"\" class=\"wp-image-541948\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-73.png 561w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-73-260x300.png 260w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-73-400x462.png 400w\" sizes=\"auto, (max-width: 561px) 100vw, 561px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"462\" height=\"184\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-74.png\" alt=\"\" class=\"wp-image-541949\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-74.png 462w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-74-300x119.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-74-400x159.png 400w\" sizes=\"auto, (max-width: 462px) 100vw, 462px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"329\" height=\"257\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-75.png\" alt=\"\" class=\"wp-image-541950\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-75.png 329w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-75-300x234.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=\"660\" height=\"43\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-76.gif\" alt=\"\" class=\"wp-image-541951\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\"\/><\/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=\"566\" height=\"476\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-77.png\" alt=\"\" class=\"wp-image-541952\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-77.png 566w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-77-300x252.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-77-400x336.png 400w\" sizes=\"auto, (max-width: 566px) 100vw, 566px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"569\" height=\"650\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-78.png\" alt=\"\" class=\"wp-image-541953\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-78.png 569w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-78-263x300.png 263w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-78-400x457.png 400w\" sizes=\"auto, (max-width: 569px) 100vw, 569px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"425\" height=\"203\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-79.png\" alt=\"\" class=\"wp-image-541954\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-79.png 425w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-79-300x143.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-79-400x191.png 400w\" sizes=\"auto, (max-width: 425px) 100vw, 425px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"707\" height=\"49\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-80.gif\" alt=\"\" class=\"wp-image-541955\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\"\/><\/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=\"569\" height=\"597\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-81.png\" alt=\"\" class=\"wp-image-541956\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-81.png 569w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-81-286x300.png 286w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-81-400x420.png 400w\" sizes=\"auto, (max-width: 569px) 100vw, 569px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"442\" height=\"155\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-82.png\" alt=\"\" class=\"wp-image-541957\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-82.png 442w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-82-300x105.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-82-400x140.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=\"602\" height=\"648\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-83.png\" alt=\"\" class=\"wp-image-541958\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-83.png 602w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-83-279x300.png 279w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-83-400x431.png 400w\" sizes=\"auto, (max-width: 602px) 100vw, 602px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"571\" height=\"43\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-84.gif\" alt=\"\" class=\"wp-image-541959\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\"\/><\/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=\"106\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-85.png\" alt=\"\" class=\"wp-image-541960\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-85.png 351w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-85-300x91.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=\"534\" height=\"646\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-86.png\" alt=\"\" class=\"wp-image-541961\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-86.png 534w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-86-248x300.png 248w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-86-400x484.png 400w\" sizes=\"auto, (max-width: 534px) 100vw, 534px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"301\" height=\"200\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives-image-87.png\" alt=\"\" class=\"wp-image-541962\" title=\"RD Sharma Solutions for Class 12 Maths Chapter 12 Higher Order Derivatives\"\/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-rd-sharma-solutions-for-class-12-maths-chapter-12-download-pdf\">RD Sharma Solutions for Class 12 Maths Chapter 12:&nbsp;<strong>Download PDF<\/strong><\/h2>\n\n\n\n<p>RD Sharma Solutions for Class 12 Maths Chapter 12\u2013Higher Order Derivatives<\/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-12\u2013Higher-Order-Derivatives.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Download PDF<\/strong>: RD Sharma Solutions for Class 12 Maths Chapter 12\u2013Higher Order Derivatives 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 12 solutions. Complete Class 12 Maths Chapter 12 Notes. RD Sharma Solutions for Class 12 Maths Chapter 12\u2013Higher Order Derivatives RD Sharma 12th Maths Chapter 12, Class 12 Maths Chapter 12 solutions Exercise 12.1 Page No: 12.17 1. Find the second order derivatives of the each of the following functions: (i) [&hellip;]<\/p>\n","protected":false},"author":302,"featured_media":541877,"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-541874","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 12 - IndCareer Schools<\/title>\n<meta name=\"description\" content=\"RD Sharma Solutions for Class 12 Maths Chapter 12\u2013Higher Order Derivatives | Browse Class 12 Maths Chapters RD Sharma - IndCareer Schools\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"RD Sharma Solutions for Class 12 Maths Chapter 12\u2013Higher Order Derivatives\" \/>\n<meta property=\"og:description\" content=\"Class 12: Maths Chapter 12 solutions. Complete Class 12 Maths Chapter 12 Notes. RD Sharma Solutions for Class 12 Maths Chapter 12\u2013Higher Order Derivatives\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives\/\" \/>\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=\"2021-09-27T08:33:21+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2022-12-26T09:33:10+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/class12-m12.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=\"20 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-12-higher-order-derivatives\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives\/\"},\"author\":{\"name\":\"Pooja\",\"@id\":\"https:\/\/www.indcareer.com\/schools\/#\/schema\/person\/d6945cf059726f162259ba738092301e\"},\"headline\":\"RD Sharma Solutions for Class 12 Maths Chapter 12\u2013Higher Order Derivatives\",\"datePublished\":\"2021-09-27T08:33:21+00:00\",\"dateModified\":\"2022-12-26T09:33:10+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives\/\"},\"wordCount\":472,\"publisher\":{\"@id\":\"https:\/\/www.indcareer.com\/schools\/#organization\"},\"image\":{\"@id\":\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/class12-m12.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-12-higher-order-derivatives\/\",\"url\":\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives\/\",\"name\":\"RD Sharma Solutions for Class 12, maths Chapter 12 - 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-12-higher-order-derivatives\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/class12-m12.png\",\"datePublished\":\"2021-09-27T08:33:21+00:00\",\"dateModified\":\"2022-12-26T09:33:10+00:00\",\"description\":\"RD Sharma Solutions for Class 12 Maths Chapter 12\u2013Higher Order Derivatives | Browse Class 12 Maths Chapters RD Sharma - IndCareer Schools\",\"breadcrumb\":{\"@id\":\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives\/#primaryimage\",\"url\":\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/class12-m12.png\",\"contentUrl\":\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/class12-m12.png\",\"width\":1200,\"height\":675,\"caption\":\"RD Sharma Solutions for Class 12 Maths Chapter 12\u2013Higher Order Derivatives\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/www.indcareer.com\/schools\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Class 12\",\"item\":\"https:\/\/www.indcareer.com\/schools\/class-12\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"RD Sharma Solutions for Class 12 Maths Chapter 12\u2013Higher Order Derivatives\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.indcareer.com\/schools\/#website\",\"url\":\"https:\/\/www.indcareer.com\/schools\/\",\"name\":\"IndCareer Schools\",\"description\":\"School Admissions &amp; Notices\",\"publisher\":{\"@id\":\"https:\/\/www.indcareer.com\/schools\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/www.indcareer.com\/schools\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/www.indcareer.com\/schools\/#organization\",\"name\":\"IndCareer\",\"url\":\"https:\/\/www.indcareer.com\/schools\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/www.indcareer.com\/schools\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/06\/indcareer-logo2.png\",\"contentUrl\":\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/06\/indcareer-logo2.png\",\"width\":512,\"height\":250,\"caption\":\"IndCareer\"},\"image\":{\"@id\":\"https:\/\/www.indcareer.com\/schools\/#\/schema\/logo\/image\/\"},\"sameAs\":[\"https:\/\/www.facebook.com\/indcareer\",\"https:\/\/x.com\/indcareer\",\"https:\/\/www.youtube.com\/channel\/UC1liU3RZoBRuu8YcAuZMsOQ\"],\"email\":\"info@ebharat.in\",\"legalName\":\"IndCareer\",\"numberOfEmployees\":{\"@type\":\"QuantitativeValue\",\"minValue\":\"1\",\"maxValue\":\"10\"}},{\"@type\":\"Person\",\"@id\":\"https:\/\/www.indcareer.com\/schools\/#\/schema\/person\/d6945cf059726f162259ba738092301e\",\"name\":\"Pooja\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/www.indcareer.com\/schools\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/350f7cfdfb6a23bcab67b56b5e77549db2a13b5d23e63175ac5bd07b5d44b720?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/350f7cfdfb6a23bcab67b56b5e77549db2a13b5d23e63175ac5bd07b5d44b720?s=96&d=mm&r=g\",\"caption\":\"Pooja\"}}]}<\/script>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"RD Sharma Solutions for Class 12, maths Chapter 12 - IndCareer Schools","description":"RD Sharma Solutions for Class 12 Maths Chapter 12\u2013Higher Order Derivatives | Browse Class 12 Maths Chapters RD Sharma - IndCareer Schools","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives\/","og_locale":"en_US","og_type":"article","og_title":"RD Sharma Solutions for Class 12 Maths Chapter 12\u2013Higher Order Derivatives","og_description":"Class 12: Maths Chapter 12 solutions. Complete Class 12 Maths Chapter 12 Notes. RD Sharma Solutions for Class 12 Maths Chapter 12\u2013Higher Order Derivatives","og_url":"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives\/","og_site_name":"IndCareer Schools","article_publisher":"https:\/\/www.facebook.com\/indcareer","article_published_time":"2021-09-27T08:33:21+00:00","article_modified_time":"2022-12-26T09:33:10+00:00","og_image":[{"width":1200,"height":675,"url":"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/class12-m12.png","type":"image\/png"}],"author":"Pooja","twitter_card":"summary_large_image","twitter_creator":"@indcareer","twitter_site":"@indcareer","twitter_misc":{"Written by":"Pooja","Est. reading time":"20 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives\/#article","isPartOf":{"@id":"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives\/"},"author":{"name":"Pooja","@id":"https:\/\/www.indcareer.com\/schools\/#\/schema\/person\/d6945cf059726f162259ba738092301e"},"headline":"RD Sharma Solutions for Class 12 Maths Chapter 12\u2013Higher Order Derivatives","datePublished":"2021-09-27T08:33:21+00:00","dateModified":"2022-12-26T09:33:10+00:00","mainEntityOfPage":{"@id":"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives\/"},"wordCount":472,"publisher":{"@id":"https:\/\/www.indcareer.com\/schools\/#organization"},"image":{"@id":"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives\/#primaryimage"},"thumbnailUrl":"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/class12-m12.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-12-higher-order-derivatives\/","url":"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives\/","name":"RD Sharma Solutions for Class 12, maths Chapter 12 - 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-12-higher-order-derivatives\/#primaryimage"},"image":{"@id":"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives\/#primaryimage"},"thumbnailUrl":"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/class12-m12.png","datePublished":"2021-09-27T08:33:21+00:00","dateModified":"2022-12-26T09:33:10+00:00","description":"RD Sharma Solutions for Class 12 Maths Chapter 12\u2013Higher Order Derivatives | Browse Class 12 Maths Chapters RD Sharma - IndCareer Schools","breadcrumb":{"@id":"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives\/#primaryimage","url":"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/class12-m12.png","contentUrl":"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/class12-m12.png","width":1200,"height":675,"caption":"RD Sharma Solutions for Class 12 Maths Chapter 12\u2013Higher Order Derivatives"},{"@type":"BreadcrumbList","@id":"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-12-maths-chapter-12-higher-order-derivatives\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/www.indcareer.com\/schools\/"},{"@type":"ListItem","position":2,"name":"Class 12","item":"https:\/\/www.indcareer.com\/schools\/class-12\/"},{"@type":"ListItem","position":3,"name":"RD Sharma Solutions for Class 12 Maths Chapter 12\u2013Higher Order Derivatives"}]},{"@type":"WebSite","@id":"https:\/\/www.indcareer.com\/schools\/#website","url":"https:\/\/www.indcareer.com\/schools\/","name":"IndCareer Schools","description":"School Admissions &amp; Notices","publisher":{"@id":"https:\/\/www.indcareer.com\/schools\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.indcareer.com\/schools\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"},{"@type":"Organization","@id":"https:\/\/www.indcareer.com\/schools\/#organization","name":"IndCareer","url":"https:\/\/www.indcareer.com\/schools\/","logo":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/www.indcareer.com\/schools\/#\/schema\/logo\/image\/","url":"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/06\/indcareer-logo2.png","contentUrl":"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/06\/indcareer-logo2.png","width":512,"height":250,"caption":"IndCareer"},"image":{"@id":"https:\/\/www.indcareer.com\/schools\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.facebook.com\/indcareer","https:\/\/x.com\/indcareer","https:\/\/www.youtube.com\/channel\/UC1liU3RZoBRuu8YcAuZMsOQ"],"email":"info@ebharat.in","legalName":"IndCareer","numberOfEmployees":{"@type":"QuantitativeValue","minValue":"1","maxValue":"10"}},{"@type":"Person","@id":"https:\/\/www.indcareer.com\/schools\/#\/schema\/person\/d6945cf059726f162259ba738092301e","name":"Pooja","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/www.indcareer.com\/schools\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/350f7cfdfb6a23bcab67b56b5e77549db2a13b5d23e63175ac5bd07b5d44b720?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/350f7cfdfb6a23bcab67b56b5e77549db2a13b5d23e63175ac5bd07b5d44b720?s=96&d=mm&r=g","caption":"Pooja"}}]}},"_links":{"self":[{"href":"https:\/\/www.indcareer.com\/schools\/wp-json\/wp\/v2\/posts\/541874","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.indcareer.com\/schools\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.indcareer.com\/schools\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.indcareer.com\/schools\/wp-json\/wp\/v2\/users\/302"}],"replies":[{"embeddable":true,"href":"https:\/\/www.indcareer.com\/schools\/wp-json\/wp\/v2\/comments?post=541874"}],"version-history":[{"count":0,"href":"https:\/\/www.indcareer.com\/schools\/wp-json\/wp\/v2\/posts\/541874\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.indcareer.com\/schools\/wp-json\/wp\/v2\/media\/541877"}],"wp:attachment":[{"href":"https:\/\/www.indcareer.com\/schools\/wp-json\/wp\/v2\/media?parent=541874"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.indcareer.com\/schools\/wp-json\/wp\/v2\/categories?post=541874"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.indcareer.com\/schools\/wp-json\/wp\/v2\/tags?post=541874"},{"taxonomy":"boards","embeddable":true,"href":"https:\/\/www.indcareer.com\/schools\/wp-json\/wp\/v2\/boards?post=541874"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}