{"id":108191,"date":"2023-05-23T21:47:00","date_gmt":"2023-05-23T16:17:00","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=108191"},"modified":"2025-07-12T11:50:13","modified_gmt":"2025-07-12T06:20:13","slug":"ncert-solutions-for-class-11-maths-chapter-13-ex-13-2","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-11-maths-chapter-13-ex-13-2\/","title":{"rendered":"NCERT Solutions for Class 11 Maths Chapter 13 Ex 13.2 (Updated For 2026)"},"content":{"rendered":"\n<p><img class=\"alignnone wp-image-146253 size-full\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/13.2.jpg\" alt=\"NCERT Solutions for Class 11 Maths Chapter 13 Ex 13.2\" width=\"1200\" height=\"675\" srcset=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/13.2.jpg 1200w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/13.2-768x432.jpg 768w\" sizes=\"(max-width: 1200px) 100vw, 1200px\" \/><\/p>\n<p><b>NCERT Solutions for Class 11 Maths Chapter 13 Ex 13.2:<\/b><span style=\"font-weight: 400;\"> You can get a free PDF of NCERT Solutions for Class 11 Maths Chapter 13 Exercise 13.2 designed by a professional mathematics instructor according to CBSE (NCERT) book rules. Prepare for your Class 11 maths exam with <a href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-11-maths-chapter-13-limits-and-derivatives\/\" target=\"_blank\" rel=\"noopener\">NCERT Solutions for Class 11 Maths Chapter 13<\/a> Ex 13.2.<\/span><\/p>\n<p>Class 11 students who solve with the NCERT Solutions can score good marks in the exams. To help them to score good marks in the board examinations. On this page, students can see the solutions to the second exercise of Chapter 13 Class 11 Maths. Chapter 13 Limits and Derivatives of Class 11 Maths is included in the CBSE Syllabus for the 2025-26 session. Exercise 13.2 of NCERT Solutions for Class 11 Maths Chapter 13 \u2013 Limits and Derivatives are based on the following topics:<\/p>\n<ol>\n<li>Derivatives\n<ol>\n<li>Algebra of the derivative of functions<\/li>\n<li>Derivative of polynomials and trigonometric functions<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<p>The ultimate goal of all the students practicing and preparing for the exam is to score exceptionally well in both the board examinations. Downloading the NCERT Solutions of Class 11 Maths now and practicing them well will help them reach their goal with ease.<\/p>\n<p>You can learn about the <span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;NCERT Solutions for Class 11 Maths Chapter 13 Ex 13.2&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:14782,&quot;4&quot;:{&quot;1&quot;:2,&quot;2&quot;:16777215},&quot;5&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;6&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;7&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;8&quot;:{&quot;1&quot;:[{&quot;1&quot;:2,&quot;2&quot;:0,&quot;5&quot;:{&quot;1&quot;:2,&quot;2&quot;:0}},{&quot;1&quot;:0,&quot;2&quot;:0,&quot;3&quot;:3},{&quot;1&quot;:1,&quot;2&quot;:0,&quot;4&quot;:1}]},&quot;10&quot;:2,&quot;11&quot;:0,&quot;14&quot;:{&quot;1&quot;:2,&quot;2&quot;:0},&quot;15&quot;:&quot;Calibri&quot;,&quot;16&quot;:11}\">NCERT Solutions for Class 11 Maths Chapter 13 Ex 13.2 in detail by reading the complete blog.\u00a0<\/span><\/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-69e70cc9ee991\" 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 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13 Ex 13.2 PDF<\/a><ul class='ez-toc-list-level-4'><li class='ez-toc-heading-level-4'><ul class='ez-toc-list-level-4'><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-11-maths-chapter-13-ex-13-2\/#access-solutions-for-class-11-maths-chapter-13-exercise-132\" title=\"Access Solutions for Class 11 Maths Chapter 13 Exercise 13.2\">Access Solutions for Class 11 Maths Chapter 13 Exercise 13.2<\/a><\/li><\/ul><\/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\/ncert-solutions-for-class-11-maths-chapter-13-ex-13-2\/#faqs-on-the-ncert-solutions-for-chapter-13-ex-132\" title=\"FAQs on the NCERT Solutions for Chapter 13 Ex 13.2\">FAQs on the NCERT Solutions for Chapter 13 Ex 13.2<\/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\/ncert-solutions-for-class-11-maths-chapter-13-ex-13-2\/#is-it-possible-to-view-chapter-13-exercise-132-while-offline\" title=\"Is it possible to view Chapter 13 Exercise 13.2 while offline?\">Is it possible to view Chapter 13 Exercise 13.2 while offline?<\/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\/ncert-solutions-for-class-11-maths-chapter-13-ex-13-2\/#what-does-it-cost-to-obtain-ncert-solutions-class-11-maths-chapter-13-ex-132-pdf\" title=\"What does it cost to obtain NCERT Solutions Class 11 Maths Chapter 13 Ex 13.2 PDF?\">What does it cost to obtain NCERT Solutions Class 11 Maths Chapter 13 Ex 13.2 PDF?<\/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\/ncert-solutions-for-class-11-maths-chapter-13-ex-13-2\/#where-can-we-get-the-pdf-for-ncert-solutions-class-11-maths-chapter-13-ex-132\" title=\"Where can we get the PDF for NCERT Solutions Class 11 Maths Chapter 13 Ex 13.2?\">Where can we get the PDF for NCERT Solutions Class 11 Maths Chapter 13 Ex 13.2?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-11-maths-chapter-13-ex-13-2\/#are-ncert-solutions-for-class-11-maths-chapter-13-ex-132-sufficient-for-test-preparation\" title=\"Are NCERT Solutions for Class 11 Maths Chapter 13 Ex 13.2 sufficient for test preparation?\">Are NCERT Solutions for Class 11 Maths Chapter 13 Ex 13.2 sufficient for test preparation?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-11-maths-chapter-13-ex-13-2\/#which-website-provides-the-most-up-to-date-cbse-prescribed-curriculum-as-well-as-books-for-great-hindi-exam-preparation-materials-for-class-11\" title=\"Which website provides the most up-to-date CBSE-prescribed curriculum as well as books for great Hindi exam preparation materials for class 11?\">Which website provides the most up-to-date CBSE-prescribed curriculum as well as books for great Hindi exam preparation materials for class 11?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-ncert-solutions-class-11-maths-chapter-13-ex-132-pdf\"><\/span><b>Download NCERT Solutions Class 11 Maths Chapter 13 Ex 13.2 PDF<\/b><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/13.2-1.pdf\" target=\"_blank\" rel=\"noopener\">NCERT Solutions Class 11 Maths Chapter 13 Ex 13.2<\/a><\/p>\n<div id=\"example1\" style=\"text-align: justify;\">\u00a0<\/div>\n<p style=\"text-align: justify;\"><style>\n.pdfobject-container { height: 500px;}<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\/08\/13.2-1.pdf\", \"#example1\");<\/script><\/p>\n<h4><span class=\"ez-toc-section\" id=\"access-solutions-for-class-11-maths-chapter-13-exercise-132\"><\/span>Access Solutions for Class 11 Maths Chapter 13 Exercise 13.2<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p><strong>1. Find the derivative of x<sup>2<\/sup>\u2013 2 at x = 10.<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>Let f (x) = x<sup>2<\/sup>\u00a0\u2013 2<\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2021\/02\/ncert-solutions-mathematics-class-11-chapter-13-102.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 102\" \/><\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-103.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 103\" \/><\/p>\n<p><strong>2. Find the derivative of x at x = 1.<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>Let f (x) = x<\/p>\n<p>Then,<\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2021\/02\/ncert-solutions-mathematics-class-11-chapter-13-104.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 104\" \/><\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-105.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 105\" \/><\/p>\n<p><strong>3.<\/strong>\u00a0<strong>Find the derivative of 99x at x = l00.<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>Let f (x) = 99x,<\/p>\n<p>From the first principle,<\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2021\/02\/ncert-solutions-mathematics-class-11-chapter-13-106.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 106\" \/><\/p>\n<p>= 99<\/p>\n<p><strong>5. For the function\u00a0<img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-115.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 115\" \/>\u00a0, prove that f\u2019 (1) =100 f\u2019 (0).<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-116.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 116\" \/><\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-117.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 117\" \/><\/p>\n<p><strong>6. Find the derivative of\u00a0<img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-118.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 118\" \/>\u00a0for some fixed real number a.<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-119.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 119\" \/><\/p>\n<p><strong>7. For some constants a and b, find the derivative of<br \/>(i) (x \u2212 a) (x \u2212 b)<\/strong><\/p>\n<p><strong>(ii) (ax<sup>2<\/sup>\u00a0+ b)<sup>2<\/sup><\/strong><\/p>\n<p><strong>(iii) x \u2013 a \/ x \u2013 b<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>(i) (x \u2013 a) (x \u2013 b)<\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-120.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 120\" \/><\/p>\n<p>(ii) (ax<sup>2<\/sup>\u00a0+ b)<sup>2<\/sup><\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-121.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 121\" \/><\/p>\n<p>= 4ax (ax<sup>2<\/sup>\u00a0+ b)<\/p>\n<p>(iii) x \u2013 a \/ x \u2013 b<\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-122.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 122\" \/><\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-123.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 123\" \/><\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-124.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 124\" \/><\/p>\n<p><strong>8.<\/strong>\u00a0<strong>Find the derivative of\u00a0<img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-125.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 125\" \/>\u00a0for some constant a.<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-126.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 126\" \/><\/p>\n<p><strong>9. Find the derivative of<\/strong><\/p>\n<p><strong>(i) 2x \u2013 3 \/ 4<\/strong><\/p>\n<p><strong>(ii) (5x<sup>3<\/sup>\u00a0+ 3x \u2013 1) (x \u2013 1)<\/strong><\/p>\n<p><strong>(iii) x<sup>-3<\/sup>\u00a0(5 + 3x)<\/strong><\/p>\n<p><strong>(iv) x<sup>5<\/sup>\u00a0(3 \u2013 6x<sup>-9<\/sup>)<\/strong><\/p>\n<p><strong>(v) x<sup>-4<\/sup>\u00a0(3 \u2013 4x<sup>-5<\/sup>)<\/strong><\/p>\n<p><strong>(vi) (2 \/ x + 1) \u2013 x<sup>2<\/sup>\u00a0\/ 3x \u2013 1<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>(i)<\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-127.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 127\" \/><\/p>\n<p>(ii)<\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-128.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 128\" \/><\/p>\n<p>(iii)<\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-129.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 129\" \/><\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-130.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 130\" \/><\/p>\n<p>(iv)<\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-131.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 131\" \/><\/p>\n<p>(v)<\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-132.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 132\" \/><\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-133.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 133\" \/><\/p>\n<p>(vi)<\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-134.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 134\" \/><\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-135.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 135\" \/><\/p>\n<p><strong>10. Find the derivative of cos x from the first principle.<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-136.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 136\" \/><\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-137.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 137\" \/><\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-138.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 138\" \/><\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-139.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 139\" \/><\/p>\n<p><strong>11. Find the derivative of the following functions.<\/strong><\/p>\n<p><strong>(i) sin x cos x<\/strong><\/p>\n<p><strong>(ii) sec x<\/strong><\/p>\n<p><strong>(iii) 5 sec x + 4 cos x<\/strong><\/p>\n<p><strong>(iv) cosec x<\/strong><\/p>\n<p><strong>(v) 3 cot x + 5 cosec x<\/strong><\/p>\n<p><strong>(vi) 5 sin x \u2013 6 cos x + 7<\/strong><\/p>\n<p><strong>(vii) 2 tan x \u2013 7 sec x<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>(i) sin x cos x<\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-140.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 140\" \/><\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-141.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 141\" \/><\/p>\n<p>(ii) sec x<\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-142.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 142\" \/><\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-143.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 143\" \/><\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-144.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 144\" \/><\/p>\n<p>(iii) 5 sec x + 4 cos x<\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-145.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 145\" \/><\/p>\n<p>(iv) cosec x<\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-146.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 146\" \/><\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-147.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 147\" \/><\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-148.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 148\" \/><\/p>\n<p>(v) 3 cot x + 5 cosec x<\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-149.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 149\" \/><\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-150.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 150\" \/><\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-151.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 151\" \/><\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-152.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 152\" \/><\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-153.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 153\" \/><\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-154.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 154\" \/><\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-155.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 155\" \/><\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-156.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 156\" \/><\/p>\n<p>(vi)5 sin x \u2013 6 cos x + 7<\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-157.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 157\" \/><\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-158.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 158\" \/><\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-159.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 159\" \/><\/p>\n<p>(vii) 2 tan x \u2013 7 sec x<\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-160.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 160\" \/><\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-161.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 161\" \/><\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-162.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 162\" \/><\/p>\n<p><img class=\"\" title=\"NCERT Solutions for Class 11 Maths Chapter 13\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/02\/ncert-solutions-mathematics-class-11-chapter-13-163.png\" alt=\"NCERT Solutions Mathematics Class 11 Chapter 13 - 163\" \/><\/p>\n<p><b>All the best to the kids taking the 11th-grade board test. Here is the detailed blog of NCERT Solutions for Class 11 Maths Chapter 13 Ex 13.2. You can ask any questions you have about the <a href=\"https:\/\/www.cbse.gov.in\/\" target=\"_blank\" rel=\"noopener\">CBSE<\/a> Class 11th test in the comment section.\u00a0<\/b><\/p>\n<h2><span class=\"ez-toc-section\" id=\"faqs-on-the-ncert-solutions-for-chapter-13-ex-132\"><\/span><b>FAQs on the <\/b><b>NCERT Solutions for Chapter 13 Ex 13.2<\/b><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-1627136088343\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"is-it-possible-to-view-chapter-13-exercise-132-while-offline\"><\/span><strong>Is it possible to view Chapter 13 Exercise 13.2 while offline?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes, you may view Chapter 13 Exercise 13.2 while you&#8217;re not connected to the internet.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1628439326181\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"what-does-it-cost-to-obtain-ncert-solutions-class-11-maths-chapter-13-ex-132-pdf\"><\/span><strong>What does it cost to obtain NCERT Solutions Class 11 Maths Chapter 13 Ex 13.2 PDF?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>It is completely free.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1628439344168\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"where-can-we-get-the-pdf-for-ncert-solutions-class-11-maths-chapter-13-ex-132\"><\/span><strong>Where can we get the PDF for NCERT Solutions Class 11 Maths Chapter 13 Ex 13.2?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>The link to download the PDF is available in the above blog<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1628439376339\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"are-ncert-solutions-for-class-11-maths-chapter-13-ex-132-sufficient-for-test-preparation\"><\/span><strong>Are NCERT Solutions for Class 11 Maths Chapter 13 Ex 13.2 sufficient for test preparation?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes, the information on Kopy Kitab about NCERT Solutions for Class 11 Maths Chapter 13 Ex 13.2, which includes full study resources, is sufficient for students to prepare for and pass their examinations.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1628439428888\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"which-website-provides-the-most-up-to-date-cbse-prescribed-curriculum-as-well-as-books-for-great-hindi-exam-preparation-materials-for-class-11\"><\/span><strong>Which website provides the most up-to-date CBSE-prescribed curriculum as well as books for great Hindi exam preparation materials for class 11?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>For full preparation for class 11 Hindi examinations, Kopy Kitab gives the newest CBSE-approved syllabus and materials. The study materials are always available in PDF format, which may be downloaded at any time.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions for Class 11 Maths Chapter 13 Ex 13.2: You can get a free PDF of NCERT Solutions for Class 11 Maths Chapter 13 Exercise 13.2 designed by a professional mathematics instructor according to CBSE (NCERT) book rules. Prepare for your Class 11 maths exam with NCERT Solutions for Class 11 Maths Chapter 13 &#8230; <a title=\"NCERT Solutions for Class 11 Maths Chapter 13 Ex 13.2 (Updated For 2026)\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-11-maths-chapter-13-ex-13-2\/\" aria-label=\"More on NCERT Solutions for Class 11 Maths Chapter 13 Ex 13.2 (Updated For 2026)\">Read more<\/a><\/p>\n","protected":false},"author":249,"featured_media":146253,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[2934,2985],"tags":[3570,76237,76431],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/108191"}],"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\/249"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=108191"}],"version-history":[{"count":5,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/108191\/revisions"}],"predecessor-version":[{"id":574307,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/108191\/revisions\/574307"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/146253"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=108191"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=108191"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=108191"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}