{"id":93552,"date":"2019-09-18T10:59:42","date_gmt":"2019-09-18T05:29:42","guid":{"rendered":"https:\/\/www.learncbse.in\/?p=93552"},"modified":"2019-09-18T10:59:42","modified_gmt":"2019-09-18T05:29:42","slug":"ncert-solutions-for-class-12-maths-chapter-5-ex-5-3","status":"publish","type":"post","link":"https:\/\/www.learncbse.in\/ncert-solutions-for-class-12-maths-chapter-5-ex-5-3\/","title":{"rendered":"NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.3"},"content":{"rendered":"<h2>NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.3<\/h2>\n<p>Get Free NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.3 PDF in Hindi and English Medium. Sets Class 12 Maths NCERT Solutions are extremely helpful while doing your homework. Continuity and Differentiability Exercise 5.3 Class 12 Maths NCERT Solutions were prepared by Experienced LearnCBSE.in Teachers. Detailed answers of all the questions in Chapter 5 Class 12 Continuity and Differentiability Ex 5.3 provided in NCERT Textbook.<\/p>\n<p>Free download NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.3 PDF in Hindi Medium as well as in English Medium for CBSE, Uttarakhand, Bihar, MP Board, Gujarat Board, BIE, Intermediate and UP Board students, who are using NCERT Books based on updated CBSE Syllabus for the session 2019-20.<\/p>\n<p><strong>The topics and sub-topics included in the Continuity and Differentiability chapter are the following:<\/strong><\/p>\n<ul>\n<li>Continuity and Differentiability<\/li>\n<li>Introduction<\/li>\n<li>Algebra of continuous functions<\/li>\n<li>Differentiability<\/li>\n<li>Derivatives of composite functions<\/li>\n<li>Derivatives of implicit functions<\/li>\n<li>Derivatives of inverse trigonometric functions<\/li>\n<li>Exponential and Logarithmic Functions<\/li>\n<li>Logarithmic Differentiation<\/li>\n<li>Derivatives of Functions in Parametric Forms<\/li>\n<li>Second Order Derivative<\/li>\n<li>Mean Value Theorem<\/li>\n<li>Summary<\/li>\n<\/ul>\n<p>There are total eight exercises and one misc exercise(<b>144 Questions fully solved<\/b>) in the class 12th maths chapter 5 Continuity and Differentiability.<\/p>\n<h3>NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.3<\/h3>\n<p><strong>Find \\(\\\\ \\frac { dy }{ dx } \\) in the following<\/strong><\/p>\n<p><span style=\"color: #eb4924;\"><strong>Ex 5.3 Class 12 Maths Question 1.<\/strong><\/span><br \/>\n2x + 3y = sinx<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n2x + 3y = sinx<br \/>\nDifferentiating w.r.t x,<br \/>\n\\(2+3\\frac { dy }{ dx } =cosx \\)<br \/>\n=&gt;\\(\\frac { dy }{ dx } =\\frac { 1 }{ 3 } (cosx-2)\\)<\/p>\n<p><span style=\"color: #eb4924;\"><strong>Ex 5.3 Class 12 Maths\u00a0Question 2.<\/strong><\/span><br \/>\n2x + 3y = siny<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n2x + 3y = siny<br \/>\nDifferentiating w.r.t x,<br \/>\n\\(2+3.\\frac { dy }{ dx } =cosy\\frac { dy }{ dx } \\)<br \/>\n=&gt;\\(\\frac { dy }{ dx } =\\frac { 2 }{ cosy-3 } \\)<\/p>\n<p><span style=\"color: #eb4924;\"><strong>Ex 5.3 Class 12 Maths\u00a0Question 3.<\/strong><\/span><br \/>\nax + by\u00b2 = cosy<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\nax + by\u00b2 = cosy<br \/>\nDifferentiate w.r.t. x,<br \/>\n\\(a+2\\quad by\\quad \\frac { dy }{ dx } =-siny\\frac { dy }{ dx } \\)<br \/>\n=&gt;\\(or\\quad (2b+siny)\\frac { dy }{ dx } =-a=&gt;\\frac { dy }{ dx } =-\\frac { a }{ 2b+siny } \\)<br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm5.staticflickr.com\/4806\/45725389022_e3ee5a2c61_o.png\" alt=\"NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability 3\" width=\"336\" height=\"202\" \/><\/p>\n<p><span style=\"color: #eb4924;\"><strong>Ex 5.3 Class 12 Maths\u00a0Question 4.<\/strong><\/span><br \/>\nxy + y\u00b2 = tan x + y<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\nxy + y\u00b2 = tanx + y<br \/>\nDifferentiating w.r.t. x,<br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm5.staticflickr.com\/4808\/45775763761_740116cf68_o.png\" alt=\"NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability 4\" width=\"301\" height=\"158\" \/><\/p>\n<p><span style=\"color: #eb4924;\"><strong>Ex 5.3 Class 12 Maths\u00a0Question 5.<\/strong><\/span><br \/>\nx\u00b2 + xy + y\u00b2 = 100<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\nx\u00b2 + xy + xy = 100<br \/>\nDifferentiating w.r.t. x,<br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm5.staticflickr.com\/4839\/45775763441_8dbb3a0fbd_o.png\" alt=\"NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability 5\" width=\"338\" height=\"108\" \/><\/p>\n<p><span style=\"color: #eb4924;\"><strong>Ex 5.3 Class 12 Maths\u00a0Question 6.<\/strong><\/span><br \/>\nx\u00b3 + x\u00b2y + xy\u00b2 + y\u00b3 = 81<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\nGiven that<br \/>\nx\u00b3 + x\u00b2y + xy\u00b2 + y\u00b3 = 81<br \/>\nDifferentiating both sides we get<br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm5.staticflickr.com\/4842\/30835830117_70289d729e_o.png\" alt=\"byjus class 12 maths Chapter 5 Continuity and Differentiability 6\" width=\"323\" height=\"196\" \/><\/p>\n<p><span style=\"color: #eb4924;\"><strong>Ex 5.3 Class 12 Maths\u00a0Question 7.<\/strong><\/span><br \/>\nsin\u00b2 y + cos xy = \u03c0<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\nGiven that<br \/>\nsin\u00b2 y + cos xy = \u03c0<br \/>\nDifferentiating both sides we get<br \/>\n\\(2\\quad sin\\quad y\\frac { d\\quad siny }{ dx } +(-sinxy)\\frac { d(xy) }{ dx } =0\\)<br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm5.staticflickr.com\/4905\/45725388742_d07c5acd3c_o.png\" alt=\"NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability 7\" width=\"320\" height=\"188\" \/><\/p>\n<p><span style=\"color: #eb4924;\"><strong>Ex 5.3 Class 12 Maths\u00a0Question 8.<\/strong><\/span><br \/>\nsin\u00b2x + cos\u00b2y = 1<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\nGiven that<br \/>\nsin\u00b2x + cos\u00b2y = 1<br \/>\nDifferentiating both sides, we get<br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1910\/44862886185_4dc326ac5f_o.png\" alt=\"byjus class 12 maths Chapter 5 Continuity and Differentiability 8\" width=\"317\" height=\"154\" \/><\/p>\n<p><span style=\"color: #eb4924;\"><strong>Ex 5.3 Class 12 Maths\u00a0Question 9.<\/strong><\/span><br \/>\n\\(y={ sin }^{ -1 }\\left( \\frac { 2x }{ { 1+x }^{ 2 } } \\right) \\)<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n\\(y={ sin }^{ -1 }\\left( \\frac { 2x }{ { 1+x }^{ 2 } } \\right) \\)<br \/>\nput x = tan\u03b8<br \/>\n\\(y={ sin }^{ -1 }\\left( \\frac { 2tan\\theta }{ { 1+tan }^{ 2 }\\theta } \\right) ={ sin }^{ -1 }(sin2\\theta )=2\\theta \\)<br \/>\n\\(y={ 2sin }^{ -1 }x\\quad \\therefore \\frac { dy }{ dx } =\\frac { 2 }{ 1+{ x }^{ 2 } } \\)<\/p>\n<p><span style=\"color: #eb4924;\"><strong>Ex 5.3 Class 12 Maths\u00a0Question 10.<\/strong><\/span><br \/>\n\\(y={ tan }^{ -1 }\\left( \\frac { { 3x-x }^{ 3 } }{ { 1-3x }^{ 2 } } \\right) ,-\\frac { 1 }{ \\sqrt { 3 } } &lt;x&lt;\\frac { 1 }{ \\sqrt { 3 } } \\)<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n\\(y={ tan }^{ -1 }\\left( \\frac { { 3x-x }^{ 3 } }{ { 1-3x }^{ 2 } } \\right) \\)<br \/>\nput x = tan\u03b8<br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1919\/31904597448_a3bc0af29f_o.png\" alt=\"NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability 10\" width=\"324\" height=\"97\" \/><\/p>\n<p><span style=\"color: #eb4924;\"><strong>Ex 5.3 Class 12 Maths\u00a0Question 11.<\/strong><\/span><br \/>\n\\(y={ cos }^{ -1 }\\left( \\frac { 1-{ x }^{ 2 } }{ 1+{ x }^{ 2 } } \\right) ,0&lt;x&lt;1 \\)<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n\\(y={ cos }^{ -1 }\\left( \\frac { 1-{ x }^{ 2 } }{ 1+{ x }^{ 2 } } \\right) ,0&lt;x&lt;1 \\)<br \/>\nput x = tan\u03b8<br \/>\n\\(y={ cos }^{ -1 }\\left( \\frac { 1-tan^{ 2 }\\quad \\theta }{ 1+{ tan }^{ 2 }\\quad \\theta } \\right) ={ cos }^{ -1 }(cos2\\theta )=2\\theta \\)<br \/>\n\\(y={ 2tan }^{ -1 }x\\quad \\therefore \\frac { dy }{ dx } =\\frac { 2 }{ 1+{ x }^{ 2 } } \\)<\/p>\n<p><span style=\"color: #eb4924;\"><strong>Ex 5.3 Class 12 Maths\u00a0Question 12.<\/strong><\/span><br \/>\n\\(y={ sin }^{ -1 }\\left( \\frac { 1-{ x }^{ 2 } }{ 1+{ x }^{ 2 } } \\right) ,0&lt;x&lt;1\\)<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n\\(y={ sin }^{ -1 }\\left( \\frac { 1-{ x }^{ 2 } }{ 1+{ x }^{ 2 } } \\right) ,0&lt;x&lt;1\\)<br \/>\nput x = tan\u03b8<br \/>\nwe get<br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm5.staticflickr.com\/4870\/45725696202_5565649c89_o.png\" alt=\"NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability 12\" width=\"329\" height=\"403\" \/><\/p>\n<p><span style=\"color: #eb4924;\"><strong>Ex 5.3 Class 12 Maths\u00a0Question 13.<\/strong><\/span><br \/>\n\\(y={ cos }^{ -1 }\\left( \\frac { 2x }{ 1+{ x }^{ 2 } } \\right) ,-1&lt;x&lt;1 \\)<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n\\(y={ cos }^{ -1 }\\left( \\frac { 2x }{ 1+{ x }^{ 2 } } \\right) ,-1&lt;x&lt;1 \\)<br \/>\nput x = tan\u03b8<br \/>\nwe get<br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1903\/31904597288_7cbb7102a4_o.png\" alt=\"NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability 13\" width=\"252\" height=\"254\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/farm2.staticflickr.com\/1958\/44862886485_2d43bc9fe2_o.png\" alt=\"NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability 13.1\" width=\"287\" height=\"157\" \/><\/p>\n<p><span style=\"color: #eb4924;\"><strong>Ex 5.3 Class 12 Maths\u00a0Question 14.<\/strong><\/span><br \/>\n\\(y=sin^{ -1 }\\left( 2x\\sqrt { 1-{ x }^{ 2 } } \\right) ,-\\frac { 1 }{ \\sqrt { 2 } } &lt;x&lt;\\frac { 1 }{ \\sqrt { 2 } } \\)<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n\\(y=sin^{ -1 }\\left( 2x\\sqrt { 1-{ x }^{ 2 } } \\right) ,-\\frac { 1 }{ \\sqrt { 2 } } &lt;x&lt;\\frac { 1 }{ \\sqrt { 2 } } \\)<br \/>\nput x = tan\u03b8<br \/>\nwe get<br \/>\n\\(y=sin^{ -1 }\\left( 2sin\\quad \\theta \\sqrt { 1-{ x }^{ 2 } } \\right) \\)<br \/>\n\\(y=sin^{ -1 }\\left( 2sin\\theta \\quad cos\\theta \\right) \\quad ={ sin }^{ -1 }(sin2\\theta )\\quad =2\\theta \\)<br \/>\n\\(y=2sin^{ -1 }x\\quad \\therefore \\frac { dy }{ dx } =\\frac { 2 }{ \\sqrt { { 1-x }^{ 2 } } } \\)<\/p>\n<p><span style=\"color: #eb4924;\"><strong>Ex 5.3 Class 12 Maths\u00a0Question 15.<\/strong><\/span><br \/>\n\\(y=sin^{ -1 }\\left( \\frac { 1 }{ { 2x }^{ 2 }-1 } \\right) ,0&lt;x&lt;\\frac { 1 }{ \\sqrt { 2 } } \\)<br \/>\n<span style=\"color: #008000;\"><strong>Solution:<\/strong><\/span><br \/>\n\\(y=sin^{ -1 }\\left( \\frac { 1 }{ { 2x }^{ 2 }-1 } \\right) ,0&lt;x&lt;\\frac { 1 }{ \\sqrt { 2 } } \\)<br \/>\nput x = tan\u03b8<br \/>\nwe get<br \/>\n\\(y=sec^{ -1 }\\left( \\frac { 1 }{ { 2cos }^{ 2 }\\theta -1 } \\right) ={ sec }^{ -1 }\\left( \\frac { 1 }{ cos2\\theta } \\right) \\)<br \/>\n\\(y=sec^{ -1 }(sec2\\theta )=2\\theta ,\\quad y=2{ cos }^{ -1 }x \\)<br \/>\n\\(\\therefore \\frac { dy }{ dx } =\\frac { -2 }{ \\sqrt { { 1-x }^{ 2 } } } \\)<\/p>\n<h3>NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Hindi Medium Ex 5.3<\/h3>\n<p><img loading=\"lazy\" class=\"alignnone size-large wp-image-93553\" src=\"https:\/\/www.learncbse.in\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-12-Maths-Chapter-5-Continuity-and-Differentiability-Hindi-Medium-Ex-5.3-1-791x1024.png\" alt=\"NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.3 Continuity and Differentiability\" width=\"791\" height=\"1024\" srcset=\"https:\/\/www.learncbse.in\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-12-Maths-Chapter-5-Continuity-and-Differentiability-Hindi-Medium-Ex-5.3-1-791x1024.png 791w, https:\/\/www.learncbse.in\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-12-Maths-Chapter-5-Continuity-and-Differentiability-Hindi-Medium-Ex-5.3-1-232x300.png 232w, https:\/\/www.learncbse.in\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-12-Maths-Chapter-5-Continuity-and-Differentiability-Hindi-Medium-Ex-5.3-1-768x994.png 768w, https:\/\/www.learncbse.in\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-12-Maths-Chapter-5-Continuity-and-Differentiability-Hindi-Medium-Ex-5.3-1.png 1700w\" sizes=\"(max-width: 791px) 100vw, 791px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-93554\" src=\"https:\/\/www.learncbse.in\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-12-Maths-Chapter-5-Continuity-and-Differentiability-Hindi-Medium-Ex-5.3-2.png\" alt=\"NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.3 in PDF English Medium\" width=\"533\" height=\"682\" srcset=\"https:\/\/www.learncbse.in\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-12-Maths-Chapter-5-Continuity-and-Differentiability-Hindi-Medium-Ex-5.3-2.png 533w, https:\/\/www.learncbse.in\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-12-Maths-Chapter-5-Continuity-and-Differentiability-Hindi-Medium-Ex-5.3-2-234x300.png 234w\" sizes=\"(max-width: 533px) 100vw, 533px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-93555\" src=\"https:\/\/www.learncbse.in\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-12-Maths-Chapter-5-Continuity-and-Differentiability-Hindi-Medium-Ex-5.3-3.png\" alt=\"NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.3 for CBSE and UP Board\" width=\"528\" height=\"676\" srcset=\"https:\/\/www.learncbse.in\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-12-Maths-Chapter-5-Continuity-and-Differentiability-Hindi-Medium-Ex-5.3-3.png 528w, https:\/\/www.learncbse.in\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-12-Maths-Chapter-5-Continuity-and-Differentiability-Hindi-Medium-Ex-5.3-3-234x300.png 234w\" sizes=\"(max-width: 528px) 100vw, 528px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-93556\" src=\"https:\/\/www.learncbse.in\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-12-Maths-Chapter-5-Continuity-and-Differentiability-Hindi-Medium-Ex-5.3-4.png\" alt=\"NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.3 for 2018-19\" width=\"532\" height=\"710\" srcset=\"https:\/\/www.learncbse.in\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-12-Maths-Chapter-5-Continuity-and-Differentiability-Hindi-Medium-Ex-5.3-4.png 532w, https:\/\/www.learncbse.in\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-12-Maths-Chapter-5-Continuity-and-Differentiability-Hindi-Medium-Ex-5.3-4-225x300.png 225w\" sizes=\"(max-width: 532px) 100vw, 532px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-93557\" src=\"https:\/\/www.learncbse.in\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-12-Maths-Chapter-5-Continuity-and-Differentiability-Hindi-Medium-Ex-5.3-5.png\" alt=\"NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.3 all questions answers\" width=\"534\" height=\"677\" srcset=\"https:\/\/www.learncbse.in\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-12-Maths-Chapter-5-Continuity-and-Differentiability-Hindi-Medium-Ex-5.3-5.png 534w, https:\/\/www.learncbse.in\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-12-Maths-Chapter-5-Continuity-and-Differentiability-Hindi-Medium-Ex-5.3-5-237x300.png 237w\" sizes=\"(max-width: 534px) 100vw, 534px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-93558\" src=\"https:\/\/www.learncbse.in\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-12-Maths-Chapter-5-Continuity-and-Differentiability-Hindi-Medium-Ex-5.3-6.png\" alt=\"NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.3 in Hindi Medium\" width=\"534\" height=\"707\" srcset=\"https:\/\/www.learncbse.in\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-12-Maths-Chapter-5-Continuity-and-Differentiability-Hindi-Medium-Ex-5.3-6.png 534w, https:\/\/www.learncbse.in\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-12-Maths-Chapter-5-Continuity-and-Differentiability-Hindi-Medium-Ex-5.3-6-227x300.png 227w\" sizes=\"(max-width: 534px) 100vw, 534px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-93559\" src=\"https:\/\/www.learncbse.in\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-12-Maths-Chapter-5-Continuity-and-Differentiability-Hindi-Medium-Ex-5.3-7.png\" alt=\"12 Maths Chapter 5 Ex. 5.3 Solutions in Hindi PDF\" width=\"536\" height=\"650\" srcset=\"https:\/\/www.learncbse.in\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-12-Maths-Chapter-5-Continuity-and-Differentiability-Hindi-Medium-Ex-5.3-7.png 536w, https:\/\/www.learncbse.in\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-12-Maths-Chapter-5-Continuity-and-Differentiability-Hindi-Medium-Ex-5.3-7-247x300.png 247w\" sizes=\"(max-width: 536px) 100vw, 536px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-93561\" src=\"https:\/\/www.learncbse.in\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-12-Maths-Chapter-5-Continuity-and-Differentiability-Hindi-Medium-Ex-5.3-8.png\" alt=\"12 Maths Chapter 5 Ex. 5.3 Solutions question 1, 2, 3, 4, 5, 6, 7\" width=\"531\" height=\"277\" srcset=\"https:\/\/www.learncbse.in\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-12-Maths-Chapter-5-Continuity-and-Differentiability-Hindi-Medium-Ex-5.3-8.png 531w, https:\/\/www.learncbse.in\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-12-Maths-Chapter-5-Continuity-and-Differentiability-Hindi-Medium-Ex-5.3-8-300x156.png 300w\" sizes=\"(max-width: 531px) 100vw, 531px\" \/><\/p>\n<h3>NCERT Class 12 Maths Solutions<\/h3>\n<ul>\n<li><strong><a href=\"https:\/\/www.learncbse.in\/ncert-solutions-for-class-12-maths-relations-and-functions\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 1 Relations and Functions<\/a><\/strong><\/li>\n<li><strong><a href=\"https:\/\/www.learncbse.in\/ncert-solutions-for-class-12-maths-inverse-trigonometric-functions\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 2 Inverse Trigonometric Functions<\/a><\/strong><\/li>\n<li><strong><a href=\"https:\/\/www.learncbse.in\/ncert-solutions-for-class-12th-maths-chapter-3-matrices\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 3 Matrices<\/a><\/strong><\/li>\n<li><strong><a href=\"https:\/\/www.learncbse.in\/ncert-solutions-for-class-12th-maths-chapter-4-determinants\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 4 Determinants<\/a><\/strong><\/li>\n<li><strong><a href=\"https:\/\/www.learncbse.in\/ncert-solutions-for-class-12-maths-continuity-and-differentiability\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 5 Continuity and Differentiability<\/a><\/strong><\/li>\n<li><strong><a href=\"https:\/\/www.learncbse.in\/ncert-solutions-for-class-12-maths-application-of-derivatives\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 6 Application of Derivatives<\/a><\/strong><\/li>\n<li><strong><a href=\"https:\/\/www.learncbse.in\/ncert-solutions-for-class-12-maths-integrals\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 7 Integrals Ex 7.1<\/a><\/strong><\/li>\n<li><strong><a href=\"https:\/\/www.learncbse.in\/ncert-solutions-for-class-12th-maths-chapter-8-application-of-integrals\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 8 Application of Integrals<\/a><\/strong><\/li>\n<li><strong><a href=\"https:\/\/www.learncbse.in\/ncert-solutions-for-class-12-maths-differential-equations\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 9 Differential Equations<\/a><\/strong><\/li>\n<li><strong><a href=\"https:\/\/www.learncbse.in\/ncert-solutions-for-class-12th-maths-chapter-10-vector-algebra\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 10 Vector Algebra<\/a><\/strong><\/li>\n<li><strong><a href=\"https:\/\/www.learncbse.in\/ncert-solutions-for-class-12th-maths-chapter-11-three-dimensional-geometry\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 11 Three Dimensional Geometry<\/a><\/strong><\/li>\n<li><strong><a href=\"https:\/\/www.learncbse.in\/ncert-solutions-for-class-12th-maths-chapter-12-linear-programming\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 12 Linear Programming<\/a><\/strong><\/li>\n<li><strong><a href=\"https:\/\/www.learncbse.in\/ncert-solutions-for-class-12-maths-probability\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 13 Probability Ex 13.1<\/a><\/strong><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.3 Get Free NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.3 PDF in Hindi and English Medium. Sets Class 12 Maths NCERT Solutions are extremely helpful while doing your homework. Continuity and Differentiability Exercise 5.3 Class 12 Maths [&hellip;]<\/p>\n","protected":false},"author":30,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":""},"categories":[2],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v16.8 (Yoast SEO v16.8) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.3 - Learn CBSE<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.learncbse.in\/ncert-solutions-for-class-12-maths-chapter-5-ex-5-3\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.3\" \/>\n<meta property=\"og:description\" content=\"NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.3 Get Free NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.3 PDF in Hindi and English Medium. 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Continuity and Differentiability Exercise 5.3 Class 12 Maths [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.learncbse.in\/ncert-solutions-for-class-12-maths-chapter-5-ex-5-3\/\" \/>\n<meta property=\"og:site_name\" content=\"Learn CBSE\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/ncertsolutionsbooks\/\" \/>\n<meta property=\"article:author\" content=\"https:\/\/www.facebook.com\/veerendracbse\" \/>\n<meta property=\"article:published_time\" content=\"2019-09-18T05:29:42+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/farm5.staticflickr.com\/4806\/45725389022_e3ee5a2c61_o.png\" \/>\n<meta name=\"twitter:card\" content=\"summary\" \/>\n<meta name=\"twitter:creator\" content=\"@VeerendraCBSE\" \/>\n<meta name=\"twitter:site\" content=\"@learncbse\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Veerendra\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"5 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Organization\",\"@id\":\"https:\/\/www.learncbse.in\/#organization\",\"name\":\"LearnCBSE\",\"url\":\"https:\/\/www.learncbse.in\/\",\"sameAs\":[\"https:\/\/www.facebook.com\/ncertsolutionsbooks\/\",\"https:\/\/www.instagram.com\/learncbse.in\/\",\"https:\/\/www.youtube.com\/user\/CBSEPapers\",\"https:\/\/in.pinterest.com\/learncbsein\/\",\"https:\/\/twitter.com\/learncbse\"],\"logo\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/www.learncbse.in\/#logo\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/www.learncbse.in\/wp-content\/uploads\/2017\/01\/LearnCBSE.in_.png\",\"contentUrl\":\"https:\/\/www.learncbse.in\/wp-content\/uploads\/2017\/01\/LearnCBSE.in_.png\",\"width\":210,\"height\":198,\"caption\":\"LearnCBSE\"},\"image\":{\"@id\":\"https:\/\/www.learncbse.in\/#logo\"}},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.learncbse.in\/#website\",\"url\":\"https:\/\/www.learncbse.in\/\",\"name\":\"Learn CBSE\",\"description\":\"NCERT Solutions for Class 6, 7, 8, 9, 10, 11 and 12\",\"publisher\":{\"@id\":\"https:\/\/www.learncbse.in\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/www.learncbse.in\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/www.learncbse.in\/ncert-solutions-for-class-12-maths-chapter-5-ex-5-3\/#primaryimage\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/farm5.staticflickr.com\/4806\/45725389022_e3ee5a2c61_o.png\",\"contentUrl\":\"https:\/\/farm5.staticflickr.com\/4806\/45725389022_e3ee5a2c61_o.png\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.learncbse.in\/ncert-solutions-for-class-12-maths-chapter-5-ex-5-3\/#webpage\",\"url\":\"https:\/\/www.learncbse.in\/ncert-solutions-for-class-12-maths-chapter-5-ex-5-3\/\",\"name\":\"NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.3 - 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