{"id":69056,"date":"2023-09-05T16:29:00","date_gmt":"2023-09-05T10:59:00","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=69056"},"modified":"2023-11-23T11:58:52","modified_gmt":"2023-11-23T06:28:52","slug":"rd-sharma-solutions-class-12-maths-chapter-12-exercise-12-1","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-12-exercise-12-1\/","title":{"rendered":"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Exercise 12.1 (Updated for 2024)"},"content":{"rendered":"\n<p><img class=\"alignnone size-full wp-image-120523\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/RD-Sharma-Class-12-Solutions-Chapter-12-Exercise-12.1.jpg\" alt=\"RD Sharma Solutions Class 12 Maths Chapter 12 Exercise 12.1\" width=\"1200\" height=\"675\" srcset=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/RD-Sharma-Class-12-Solutions-Chapter-12-Exercise-12.1.jpg 1200w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/RD-Sharma-Class-12-Solutions-Chapter-12-Exercise-12.1-768x432.jpg 768w\" sizes=\"(max-width: 1200px) 100vw, 1200px\" \/><\/p>\n<p><strong>RD Sharma Solutions Class 12 Maths Chapter 12 Exercise 12.1:\u00a0<\/strong>The RD Sharma Class 12 Solutions Chapter 12 Exercise 12.1 is developed by math experts at Kopykitab to provide precise exercise-by-exercise solutions. These solutions also provide tips and tactics for rapidly and confidently solving complex questions. Students will be thorough with the topics offered in the RD Sharma textbook for Class 12 if they practice <a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-12-solutions\/\"><strong>RD Sharma Solutions for Class 12<\/strong><\/a> on a regular basis. Students can use the links below to download <a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-12-higher-order-derivatives\/\"><strong>RD Sharma Solutions for Class 12 Maths Chapter 12<\/strong><\/a> Exercise 12.1.<\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_47_1 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"ez-toc-toggle-icon-1\"><label for=\"item-69d084ca9a06d\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;direction:ltr;\"><svg style=\"fill: #000000;color:#000000\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #000000;color:#000000\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input  type=\"checkbox\" id=\"item-69d084ca9a06d\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-visibility-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-12-exercise-12-1\/#download-rd-sharma-solutions-class-12-maths-chapter-12-exercise-121-free-pdf\" title=\"Download RD Sharma Solutions Class 12 Maths Chapter 12 Exercise 12.1 Free PDF\">Download RD Sharma Solutions Class 12 Maths Chapter 12 Exercise 12.1 Free PDF<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-12-exercise-12-1\/#access-answers-to-maths-rd-sharma-solutions-for-class-12-chapter-12-%e2%80%93-higher-order-derivatives-exercise-121-important-questions-with-solution\" title=\"Access answers to Maths RD Sharma Solutions For Class 12 Chapter 12 \u2013 Higher Order Derivatives Exercise 12.1 Important Questions With Solution\">Access answers to Maths RD Sharma Solutions For Class 12 Chapter 12 \u2013 Higher Order Derivatives Exercise 12.1 Important Questions With Solution<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-12-exercise-12-1\/#faqs-on-rd-sharma-class-12-solutions-chapter-12-exercise-121\" title=\"FAQs on RD Sharma Class 12 Solutions Chapter 12 Exercise 12.1\">FAQs on RD Sharma Class 12 Solutions Chapter 12 Exercise 12.1<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-12-exercise-12-1\/#where-can-i-get-rd-sharma-class-12-maths-solutions-chapter-12-exercise-121-free-pdf\" title=\"Where can I get RD Sharma Class 12 Maths Solutions Chapter 12 Exercise 12.1 Free PDF?\">Where can I get RD Sharma Class 12 Maths Solutions Chapter 12 Exercise 12.1 Free PDF?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-12-exercise-12-1\/#how-many-questions-are-there-in-rd-sharma-solutions-class-12-maths-chapter-12-exercise-121\" title=\"How many questions are there in RD Sharma Solutions Class 12 Maths Chapter 12 Exercise 12.1?\">How many questions are there in RD Sharma Solutions Class 12 Maths Chapter 12 Exercise 12.1?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-12-exercise-12-1\/#which-is-the-best-guidebook-for-preparing-for-the-class-12-exam\" title=\"Which is the best guidebook for preparing for the Class 12 exam?\">Which is the best guidebook for preparing for the Class 12 exam?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-solutions-class-12-maths-chapter-12-exercise-121-free-pdf\"><\/span>Download RD Sharma Solutions Class 12 Maths Chapter 12 Exercise 12.1 Free PDF<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div id=\"example1\" style=\"text-align: justify;\">\u00a0<\/div>\n<p style=\"text-align: justify;\"><style>\n.pdfobject-container { height: 800px;}<br \/>\n.pdfobject { border: 1px solid #666; }<br \/>\n<\/style><\/p>\n<p style=\"text-align: justify;\"><script src=\"https:\/\/www.kopykitab.com\/_utility\/js\/pdfobject.min.js\"><\/script><br \/><script>PDFObject.embed(\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/RD-Sharma-Solutions-Class-12-Maths-Chapter-12-1.pdf\", \"#example1\");<\/script><\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/RD-Sharma-Solutions-Class-12-Maths-Chapter-12-1.pdf\">RD Sharma Solutions Class 12 Maths Chapter 12 Exercise 12.1<\/a><\/p>\n<h3><span class=\"ez-toc-section\" id=\"access-answers-to-maths-rd-sharma-solutions-for-class-12-chapter-12-%e2%80%93-higher-order-derivatives-exercise-121-important-questions-with-solution\"><\/span>Access answers to Maths RD Sharma Solutions For Class 12 Chapter 12 \u2013 Higher Order Derivatives Exercise 12.1 Important Questions With Solution<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>1. Find the second-order derivatives of each of the following functions:<\/strong><\/p>\n<p><strong>(i) x<sup>3<\/sup>\u00a0+ tan x<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img src=\"https:\/\/farm8.staticflickr.com\/7541\/16044163780_7108c2b327_o.gif\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q1-i\" width=\"259\" height=\"133\" \/><\/p>\n<p><strong>(ii) Sin (log x)<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img src=\"https:\/\/farm8.staticflickr.com\/7542\/15611693873_efe5326fca_o.gif\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q1-ii\" width=\"390\" height=\"432\" \/><\/p>\n<p><strong>(iii) Log (sin x)<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img src=\"https:\/\/farm8.staticflickr.com\/7548\/16231539165_7108c2b327_o.png\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q1-iii\" width=\"366\" height=\"424\" \/><\/p>\n<p><strong>(iv) e<sup>x<\/sup>\u00a0sin 5x<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img src=\"https:\/\/farm8.staticflickr.com\/7576\/16205644416_b62aaae076_o.gif\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q1-iv\" width=\"518\" height=\"372\" \/><\/p>\n<p><strong>(v) e<sup>6x\u00a0<\/sup>cos 3x<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>\u00a0<\/p>\n<p><img src=\"https:\/\/farm8.staticflickr.com\/7555\/16205644426_d38d696c7d_o.gif\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q1-v\" width=\"635\" height=\"407\" \/><\/p>\n<p><strong>(vi) x<sup>3<\/sup>\u00a0log x<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img src=\"https:\/\/farm8.staticflickr.com\/7558\/16231538965_47bd64350a_o.gif\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q1-vi\" width=\"337\" height=\"412\" \/><\/p>\n<p><strong>(vii) tan<sup>-1<\/sup>x<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img src=\"https:\/\/farm9.staticflickr.com\/8615\/16230732072_0ae4ef9c1e_o.gif\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q1-vii\" width=\"425\" height=\"247\" \/><\/p>\n<p><strong>(viii) x cos x<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img src=\"https:\/\/farm8.staticflickr.com\/7509\/15611693743_27b1ab5be1_o.gif\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q1-viii\" width=\"552\" height=\"284\" \/><\/p>\n<p><strong>(ix) Log (log x)<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img src=\"https:\/\/farm9.staticflickr.com\/8672\/15609133104_80f224e0cc_o.gif\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q1-ix\" width=\"401\" height=\"292\" \/><\/p>\n<p><strong>Higher Order Derivatives Ex 12.1 Q2<\/strong><br \/><img src=\"https:\/\/farm9.staticflickr.com\/8654\/16205644306_c45270b812_o.png\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q2\" width=\"365\" height=\"221\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q3<\/strong><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7557\/15611693683_3b6abf02fc_o.png\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q3\" width=\"248\" height=\"386\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q4<\/strong><br \/><img src=\"https:\/\/farm9.staticflickr.com\/8592\/16044165060_d4516e6b81_o.png\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q4\" width=\"264\" height=\"430\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q5<\/strong><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7462\/15609134404_b2ec01e520_o.png\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q5\" width=\"327\" height=\"333\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q6<\/strong><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7583\/16044036438_9ccd2dd0f4_o.jpg\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q6\" width=\"408\" height=\"183\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q7<\/strong><br \/><img src=\"https:\/\/farm9.staticflickr.com\/8572\/16044165020_6d8e278371_o.png\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q7\" width=\"321\" height=\"313\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q8<\/strong><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7526\/15609134334_86c7c76cba_o.png\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q8\" width=\"357\" height=\"713\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q9<\/strong><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7516\/16044036388_203cf17cd5_o.jpg\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q9\" width=\"456\" height=\"523\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q10<\/strong><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7520\/16231540175_ce9210bcda_o.png\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q10\" width=\"353\" height=\"263\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q11<\/strong><br \/><img src=\"https:\/\/farm9.staticflickr.com\/8626\/16045428359_74cb4b8b63_o.jpg\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q11\" width=\"579\" height=\"484\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q12<\/strong><img src=\"https:\/\/farm8.staticflickr.com\/7547\/16044036298_701bd2c563_o.png\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q12\" width=\"579\" height=\"509\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q13<\/strong><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7530\/16044036268_b5d519d255_o.jpg\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q13-i\" width=\"599\" height=\"611\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q14<\/strong><br \/><img src=\"https:\/\/farm9.staticflickr.com\/8652\/15611694863_64d9f3e195_o.png\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q13-ii\" width=\"476\" height=\"848\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q15<\/strong><br \/><img src=\"https:\/\/farm9.staticflickr.com\/8639\/16231540015_851a3ed9fa_o.png\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q14\" width=\"533\" height=\"637\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q17<\/strong><br \/><img src=\"https:\/\/farm9.staticflickr.com\/8563\/16044036058_0ed5b4280a_o.png\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q17\" width=\"548\" height=\"803\" \/><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7543\/16045692067_5dd31ea401_o.png\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q17-ii\" width=\"424\" height=\"153\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q18<\/strong><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7505\/16044164560_9f9e204e8d_o.png\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q19\" width=\"418\" height=\"396\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q19<\/strong><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7530\/16044164570_e342ecb5ac_o.png\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q20\" width=\"548\" height=\"771\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q20<\/strong><br \/><img src=\"https:\/\/c1.staticflickr.com\/3\/2736\/32678750952_4dbd3323d7_o.png\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q21\" width=\"461\" height=\"452\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q21<\/strong><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7526\/16230732782_ec2a3e017e_o.png\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q22\" width=\"548\" height=\"723\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q22<\/strong><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7565\/15611694503_2b24c2768b_o.gif\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q23\" width=\"545\" height=\"528\" \/><br \/><img src=\"https:\/\/farm9.staticflickr.com\/8626\/16044035768_2e2e6b27b8_o.gif\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q23-i\" width=\"610\" height=\"271\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q23<\/strong><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7562\/16205645186_8106c8bc15_o.png\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q24\" width=\"368\" height=\"321\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q24<\/strong><br \/><img src=\"https:\/\/c2.staticflickr.com\/4\/3860\/32678750682_9b4797bfb9_o.png\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q24\" width=\"417\" height=\"628\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q25<\/strong><br \/><img src=\"https:\/\/farm9.staticflickr.com\/8620\/16044035668_01e23c466d_o.png\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q28\" width=\"242\" height=\"340\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q26<\/strong><br \/><img src=\"https:\/\/farm9.staticflickr.com\/8660\/16044035678_28c11c21f3_o.png\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q29\" width=\"209\" height=\"278\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q27<\/strong><br \/><img src=\"https:\/\/farm9.staticflickr.com\/8591\/16205645046_d64da6a34a_o.png\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q30\" width=\"436\" height=\"457\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q28<\/strong><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7489\/16229679671_be08e40177_o.gif\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q31\" width=\"442\" height=\"377\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q29<\/strong><br \/><img src=\"https:\/\/farm9.staticflickr.com\/8569\/16045691747_cd49cb9d07_o.png\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q32\" width=\"480\" height=\"198\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q30<\/strong><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7486\/16205644996_cebccea649_o.png\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q33\" width=\"216\" height=\"182\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q31<\/strong><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7519\/16045427549_7b544de3e6_o.png\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q34\" width=\"513\" height=\"244\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q32<\/strong><br \/><img src=\"https:\/\/farm9.staticflickr.com\/8657\/16045691557_0f4e9858f3_o.png\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q35\" width=\"389\" height=\"398\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q33<\/strong><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7501\/15611694163_71a4105e91_o.gif\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q36\" width=\"269\" height=\"381\" \/><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7513\/16044164040_b907752ebe_o.gif\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q36-i\" width=\"282\" height=\"286\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q34<\/strong><br \/><img src=\"https:\/\/c1.staticflickr.com\/1\/458\/32708629731_bb7412d760_o.png\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q34\" width=\"395\" height=\"757\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q35<\/strong><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7519\/16044164010_111b59b762_o.gif\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q38\" width=\"348\" height=\"444\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q36<\/strong><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7576\/16229679471_ac277f171e_o.png\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q39\" width=\"580\" height=\"408\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q37<\/strong><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7512\/15609133364_f0ec7bef70_o.png\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q40\" width=\"287\" height=\"260\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q38<\/strong><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7493\/16045427369_652ecaac75_o.png\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q41\" width=\"512\" height=\"366\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q39<\/strong><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7472\/15611694003_a982cb14d1_o.gif\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q42\" width=\"238\" height=\"232\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q40<\/strong><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7465\/16229679331_92b664a3eb_o.gif\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q43\" width=\"442\" height=\"185\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q41<\/strong><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7530\/16044035308_fe384a5a62_o.png\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q44\" width=\"265\" height=\"407\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q42<\/strong><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7546\/16044035288_014d452858_o.png\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q45\" width=\"480\" height=\"832\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q43<\/strong><br \/><img src=\"https:\/\/c1.staticflickr.com\/3\/2635\/32451349300_6481db570a_o.png\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q43-1\" width=\"406\" height=\"807\" \/><br \/><img src=\"https:\/\/c1.staticflickr.com\/3\/2281\/32708629521_c9d88f3b7a_o.png\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q43-2\" width=\"407\" height=\"395\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q44<\/strong><br \/><img src=\"https:\/\/c1.staticflickr.com\/1\/348\/32708629471_b4da146e65_o.png\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q44\" width=\"466\" height=\"618\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q45<\/strong><br \/><img src=\"https:\/\/c1.staticflickr.com\/3\/2123\/32708629391_81f43a508d_o.png\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q45\" width=\"418\" height=\"557\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q46<\/strong><br \/><img src=\"https:\/\/c1.staticflickr.com\/1\/318\/32678749902_6c29cf4a45_o.png\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q46\" width=\"472\" height=\"676\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q47<\/strong><br \/><img src=\"https:\/\/c1.staticflickr.com\/1\/394\/32678749702_fbce89b347_o.png\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q47\" width=\"356\" height=\"477\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q48<\/strong><br \/><img src=\"https:\/\/c1.staticflickr.com\/3\/2840\/32708629041_740ecf0f19_o.png\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q48\" width=\"418\" height=\"653\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q49<\/strong><br \/><img src=\"https:\/\/farm8.staticflickr.com\/7479\/16044036038_eef4a01f1f_o.png\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q18\" width=\"548\" height=\"723\" \/><br \/><img src=\"https:\/\/c1.staticflickr.com\/1\/385\/32678749602_8491989880_o.png\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q49-1\" width=\"519\" height=\"250\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q50<\/strong><br \/><img src=\"https:\/\/c1.staticflickr.com\/3\/2306\/32451348700_bb3ea465b3_o.png\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q50\" width=\"503\" height=\"472\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q51<\/strong><br \/><img src=\"https:\/\/c1.staticflickr.com\/1\/502\/32708628871_b52f8e4e20_o.png\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q51\" width=\"637\" height=\"454\" \/><br \/><strong>Higher Order Derivatives Ex 12.1 Q52<\/strong><br \/><img src=\"https:\/\/c1.staticflickr.com\/3\/2768\/32451349500_1317a0e3f7_o.png\" alt=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Ex 12.1 Q52\" width=\"493\" height=\"674\" \/><\/p>\n<p>We have provided complete details of RD Sharma Solutions for Class 12 Maths Chapter 12 Exercise 12.1. If you have any queries related to <a href=\"https:\/\/www.cbse.gov.in\/\" target=\"_blank\" rel=\"noopener\"><strong>CBSE<\/strong><\/a>, feel free to ask us in the comment section below.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"faqs-on-rd-sharma-class-12-solutions-chapter-12-exercise-121\"><\/span>FAQs on RD Sharma Class 12 Solutions Chapter 12 Exercise 12.1<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n<div id=\"rank-math-faq\" class=\"rank-math-block\">\n<div class=\"rank-math-list \">\n<div id=\"faq-question-1630059269838\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"where-can-i-get-rd-sharma-class-12-maths-solutions-chapter-12-exercise-121-free-pdf\"><\/span>Where can I get RD Sharma Class 12 Maths Solutions Chapter 12 Exercise 12.1 Free PDF?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>You can get RD Sharma Solutions Class 12 Maths Chapter 12 Exercise 12.1 Free PDF from the above article.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1630059359144\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-many-questions-are-there-in-rd-sharma-solutions-class-12-maths-chapter-12-exercise-121\"><\/span>How many questions are there in RD Sharma Solutions Class 12 Maths Chapter 12 Exercise 12.1?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>There are a total of 52 questions in RD Sharma Solutions Class 12 Maths Chapter 12 Exercise 12.1.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1630059384309\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"which-is-the-best-guidebook-for-preparing-for-the-class-12-exam\"><\/span>Which is the best guidebook for preparing for the Class 12 exam?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>The best reference material for CBSE board exam preparation is RD Sharma Solutions for Class 12 Maths Chapter 12 Exercise 12.1. Every section\u2019s questions have been framed and solved by subject experts. They would be able to effortlessly excel in their final exams if they studied from these books.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>RD Sharma Solutions Class 12 Maths Chapter 12 Exercise 12.1:\u00a0The RD Sharma Class 12 Solutions Chapter 12 Exercise 12.1 is developed by math experts at Kopykitab to provide precise exercise-by-exercise solutions. These solutions also provide tips and tactics for rapidly and confidently solving complex questions. Students will be thorough with the topics offered in the &#8230; <a title=\"RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Exercise 12.1 (Updated for 2024)\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-12-exercise-12-1\/\" aria-label=\"More on RD Sharma Class 12 Solutions Chapter 12 Higher Order Derivatives Exercise 12.1 (Updated for 2024)\">Read more<\/a><\/p>\n","protected":false},"author":238,"featured_media":120523,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[73411,2985,73410],"tags":[3429,73223,73664,4388],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/69056"}],"collection":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/users\/238"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=69056"}],"version-history":[{"count":5,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/69056\/revisions"}],"predecessor-version":[{"id":511304,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/69056\/revisions\/511304"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/120523"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=69056"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=69056"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=69056"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}