{"id":69043,"date":"2023-09-07T15:30:00","date_gmt":"2023-09-07T10:00:00","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=69043"},"modified":"2023-12-06T11:03:23","modified_gmt":"2023-12-06T05:33:23","slug":"rd-sharma-solutions-class-12-maths-chapter-11-exercise-11-5","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-11-exercise-11-5\/","title":{"rendered":"RD Sharma Class 12 Solutions Chapter 11 Exercise 11.5 (Updated for 2024)"},"content":{"rendered":"\n<p><img class=\"alignnone size-full wp-image-121034\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/RD-Sharma-Solutions-Class-12-Chapter-11-Exercise-11.5.jpg\" alt=\"RD Sharma Solutions Class 12 Maths Chapter 11 Exercise 11.5\" width=\"1200\" height=\"675\" srcset=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/RD-Sharma-Solutions-Class-12-Chapter-11-Exercise-11.5.jpg 1200w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/RD-Sharma-Solutions-Class-12-Chapter-11-Exercise-11.5-768x432.jpg 768w\" sizes=\"(max-width: 1200px) 100vw, 1200px\" \/><\/p>\n<p><strong>RD Sharma Solutions Class 12 Maths Chapter 11 Exercise 11.5:&nbsp;<\/strong>The key topic discussed in this exercise is logarithmic differentiation. The inverse of an exponential function is the logarithmic function. This exercise demonstrates how to differentiate a given logarithmic function using the logarithmic differentiation technique. Before developing <strong><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-11-differentiation\/\">RD Sharma Class 12 Solutions Chapter 11<\/a><\/strong> Exercise 11.5 in accordance with the CBSE board&#8217;s recommended syllabus, Kopykitab&#8217;s team of experts did extensive research on each topic. Students can refer to <a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-12-solutions\/\"><strong>RD Sharma Solutions for Class 12 Maths<\/strong><\/a> Exercise 11.5 of Chapter 11 Differentiation to learn more about these concepts.<\/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-69d2b127cdf01\" 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 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href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-11-exercise-11-5\/#download-rd-sharma-solutions-class-12-maths-chapter-11-exercise-115-free-pdf\" title=\"Download RD Sharma Solutions Class 12 Maths Chapter 11 Exercise 11.5 Free PDF\">Download RD Sharma Solutions Class 12 Maths Chapter 11 Exercise 11.5 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-11-exercise-11-5\/#access-answers-to-maths-rd-sharma-solutions-for-class-12-chapter-11-%e2%80%93-differentiation-exercise-115-important-questions-with-solution\" title=\"Access answers to Maths RD Sharma Solutions For Class 12 Chapter 11 \u2013 Differentiation Exercise 11.5 Important Questions With Solution\">Access answers to Maths RD Sharma Solutions For Class 12 Chapter 11 \u2013 Differentiation Exercise 11.5 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-11-exercise-11-5\/#faqs-on-rd-sharma-solutions-class-12-maths-chapter-11-exercise-115\" title=\"FAQs on RD Sharma Solutions Class 12 Maths Chapter 11 Exercise 11.5\">FAQs on RD Sharma Solutions Class 12 Maths Chapter 11 Exercise 11.5<\/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-11-exercise-11-5\/#how-many-questions-are-there-in-rd-sharma-solutions-class-12-maths-chapter-11-exercise-115\" title=\"How many questions are there in RD Sharma Solutions Class 12 Maths Chapter 11 Exercise 11.5?\">How many questions are there in RD Sharma Solutions Class 12 Maths Chapter 11 Exercise 11.5?<\/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-11-exercise-11-5\/#where-can-i-find-the-correct-rd-sharma-class-12-maths-chapter-11-solutions-exercise-115\" title=\"Where can I find the correct RD Sharma Class 12 Maths Chapter 11 Solutions Exercise 11.5?\">Where can I find the correct RD Sharma Class 12 Maths Chapter 11 Solutions Exercise 11.5?<\/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-11-exercise-11-5\/#where-can-i-get-rd-sharma-class-12-maths-solutions-chapter-11-exercise-115-free-pdf\" title=\"Where can I get RD Sharma Class 12 Maths Solutions Chapter 11 Exercise 11.5 Free PDF?\">Where can I get RD Sharma Class 12 Maths Solutions Chapter 11 Exercise 11.5 Free PDF?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-solutions-class-12-maths-chapter-11-exercise-115-free-pdf\"><\/span>Download RD Sharma Solutions Class 12 Maths Chapter 11 Exercise 11.5 Free PDF<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div id=\"example1\" style=\"text-align: justify;\">&nbsp;<\/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-11-Ex-11.5.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-11-Ex-11.5.pdf\">RD Sharma Solutions Class 12 Maths Chapter 11 Exercise 11.5<\/a><\/p>\n<h3><span class=\"ez-toc-section\" id=\"access-answers-to-maths-rd-sharma-solutions-for-class-12-chapter-11-%e2%80%93-differentiation-exercise-115-important-questions-with-solution\"><\/span>Access answers to Maths RD Sharma Solutions For Class 12 Chapter 11 \u2013 Differentiation Exercise 11.5 Important Questions With Solution<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<article id=\"post-55315\" class=\"post-55315 page type-page status-publish hentry\">\n<p><strong>Differentiate the following functions with respect to x:<\/strong><\/p>\n<p><strong>1. x<sup>1\/x<\/sup><\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-227.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 227\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-228.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 228\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-229.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 229\"><\/p>\n<p><strong>2. x<sup>sin x<\/sup><\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-230.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 230\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-231.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 231\"><\/p>\n<p><strong>3. (1 + cos x)<sup>x<\/sup><\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-232.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 232\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-233.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 233\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-234.gif\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 234\"><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-235.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 235\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-236.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 236\"><\/p>\n<p><strong>5. (log x)<sup>x<\/sup><\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-237.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 237\"><\/p>\n<p><strong>6. (log x)<sup>cos x<\/sup><\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>Let y =&nbsp;(log x)<sup>cos x<\/sup><\/p>\n<p>Taking log both sides, we get<\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-238.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 238\"><\/p>\n<p><strong>7. (Sin x)<sup>cos x<\/sup><\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-239.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 239\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-240.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 240\"><\/p>\n<p><strong>8. e<sup>x log x<\/sup><\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-241.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 241\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-242.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 242\"><\/p>\n<p><strong>9. (Sin x)<sup>log x<\/sup><\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-243.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 243\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-244.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 244\"><\/p>\n<p><strong>10. 10<sup>log sin x<\/sup><\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-245.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 245\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-246.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 246\"><\/p>\n<p><strong>11. (log x)<sup>log x<\/sup><\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-247.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 247\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-248.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 248\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-249.gif\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 249\"><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-250.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 250\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-251.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 251\"><\/p>\n<p><strong>13. Sin (x<sup>x<\/sup>)<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-252.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 252\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-253.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 253\"><\/p>\n<p><strong>14. (Sin<sup>-1<\/sup>&nbsp;x)<sup>x<\/sup><\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-254.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 254\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-255.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 255\"><\/p>\n<p><sup><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-256.gif\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 256\"><\/sup><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-257.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 257\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-258.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 258\"><\/p>\n<p><strong>16. (tan x)<sup>1\/x<\/sup><\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-259.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 259\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-260.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 260\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-261.gif\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 261\"><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-262.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 262\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-263.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 263\"><\/p>\n<p><strong>18. (i) (x<sup>x<\/sup>) \u221ax<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-264.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 264\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-265.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 265\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-266.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 266\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-267.gif\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 267\"><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-268.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 268\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-269.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 269\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-270.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 270\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-271.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 271\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-272.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 272\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-273.gif\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 273\"><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-274.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 274\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-275.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 275\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-276.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 276\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-277.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 277\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-278.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 278\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-279.gif\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 279\"><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-280.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 280\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-281.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 281\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-282.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 282\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-283.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 283\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-284.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 284\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-285.gif\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 285\"><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-286.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 286\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-287.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 287\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-288.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 288\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-289.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 289\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-290.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 290\"><\/p>\n<p><strong>18. (vi) e<sup>sin x<\/sup>&nbsp;+ (tan x)<sup>x<\/sup><\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-291.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 291\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-292.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 292\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-293.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 293\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-294.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 294\"><\/p>\n<p><strong>18. (vii) (cos x)<sup>x<\/sup>&nbsp;+ (sin x)<sup>1\/x<\/sup><\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-295.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 295\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-296.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 296\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-297.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 297\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-298.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 298\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-299.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 299\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-300.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 300\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-301.gif\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 301\"><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-301.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 301\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-302.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 302\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-303.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 303\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-304.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 304\"><\/p>\n<p><strong>19. y = e<sup>x<\/sup>&nbsp;+ 10<sup>x<\/sup>&nbsp;+ x<sup>x<\/sup><\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-305.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 305\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-306.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 306\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-307.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 307\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-308.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 308\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-309.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 309\"><\/p>\n<p><strong>20. y = x<sup>n<\/sup>&nbsp;+ n<sup>x<\/sup>&nbsp;+ x<sup>x<\/sup>&nbsp;+ n<sup>n<\/sup><\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-310.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 310\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-311.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 311\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-312.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 312\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-313.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 313\"><\/p>\n<p><img title=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/01\/rd-sharma-solutions-for-class-12-maths-chapter-11-diffrentiation-image-314.png\" alt=\"RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 314\"><\/p>\n<div class=\"clearfix\"><span style=\"font-size: inherit; background-color: initial;\">RD Sharma Solutions for Class 12 Maths Chapter 11 Exercise 11.5 are immensely helpful while doing your homework and also while preparing for <\/span><a style=\"font-size: inherit; background-color: initial;\" href=\"http:\/\/cbse.nic.in\/\" target=\"_blank\" rel=\"noopener\">CBSE<\/a><span style=\"font-size: inherit; background-color: initial;\">&nbsp;finals.&nbsp;If you have any queries, feel free to ask us in the comment section below.<\/span><\/div>\n<\/article>\n<h2><span class=\"ez-toc-section\" id=\"faqs-on-rd-sharma-solutions-class-12-maths-chapter-11-exercise-115\"><\/span>FAQs on RD Sharma Solutions Class 12 Maths Chapter 11 Exercise 11.5<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-1630150158191\" 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-11-exercise-115\"><\/span>How many questions are there in RD Sharma Solutions Class 12 Maths Chapter 11 Exercise 11.5?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>There are a total of 11 questions in RD Sharma Solutions Class 12 Maths Chapter 11 Exercise 11.5.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1630150298501\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"where-can-i-find-the-correct-rd-sharma-class-12-maths-chapter-11-solutions-exercise-115\"><\/span>Where can I find the correct RD Sharma Class 12 Maths Chapter 11 Solutions Exercise 11.5?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Kopykitab\u2019s official website for RD Sharma Class 12 Solutions Chapter 11 Exercise 11.5 provides a comprehensive selection of study materials such as textbooks, reference books, and other resources for students and teachers. The solutions are carefully designed to ensure that students grasp the concepts and perform well on their board exams.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1630150442587\" 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-11-exercise-115-free-pdf\"><\/span>Where can I get RD Sharma Class 12 Maths Solutions Chapter 11 Exercise 11.5 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 for Class 12 Maths Chapter 11 Exercise 11.5 Free PDF from the above article.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>RD Sharma Solutions Class 12 Maths Chapter 11 Exercise 11.5:&nbsp;The key topic discussed in this exercise is logarithmic differentiation. The inverse of an exponential function is the logarithmic function. This exercise demonstrates how to differentiate a given logarithmic function using the logarithmic differentiation technique. Before developing RD Sharma Class 12 Solutions Chapter 11 Exercise 11.5 &#8230; <a title=\"RD Sharma Class 12 Solutions Chapter 11 Exercise 11.5 (Updated for 2024)\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-11-exercise-11-5\/\" aria-label=\"More on RD Sharma Class 12 Solutions Chapter 11 Exercise 11.5 (Updated for 2024)\">Read more<\/a><\/p>\n","protected":false},"author":238,"featured_media":121034,"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\/69043"}],"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=69043"}],"version-history":[{"count":5,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/69043\/revisions"}],"predecessor-version":[{"id":514534,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/69043\/revisions\/514534"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/121034"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=69043"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=69043"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=69043"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}