{"id":29881,"date":"2022-03-29T12:00:25","date_gmt":"2022-03-29T06:30:25","guid":{"rendered":"https:\/\/mcq-questions.com\/?p=29881"},"modified":"2022-03-29T12:10:54","modified_gmt":"2022-03-29T06:40:54","slug":"ncert-solutions-for-class-12-maths-chapter-5-ex-5-2","status":"publish","type":"post","link":"https:\/\/mcq-questions.com\/ncert-solutions-for-class-12-maths-chapter-5-ex-5-2\/","title":{"rendered":"NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.2"},"content":{"rendered":"

These NCERT Solutions for Class 12 Maths<\/a> Chapter 5 Continuity and Differentiability Ex 5.2 Questions and Answers are prepared by our highly skilled subject experts. https:\/\/mcq-questions.com\/ncert-solutions-for-class-12-maths-chapter-5-ex-5-2\/<\/p>\n

NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Exercise 5.2<\/h2>\n

\"NCERT<\/p>\n

Class 12 Maths Chapter 5 Exercise 5.2 Question 1.<\/strong>
\nsin(x\u00b2 + 5)
\nSolution:
\nLet y = sin(x\u00b2 + 5),
\nput x\u00b2 + 5 = t
\ny = sint
\nt = x\u00b2+5
\n\\(\\frac { dy }{ dx } =\\frac { dy }{ dt } .\\frac { dt }{ dx } \\)
\n\\(\\frac { dy }{ dx } =cost.\\frac { dt }{ dx } =cos({ x }^{ 2 }+5)\\frac { d }{ dx } ({ x }^{ 2 }+5)\\)
\n= cos (x\u00b2 + 5) \u00d7 2x
\n= 2x cos (x\u00b2 + 5)<\/p>\n

Ex 5.2 Class 12 NCERT Solutions Question 2.<\/strong>
\ncos (sin x)
\nSolution:
\nlet y = cos (sin x)
\nput sinx = t
\n\u2234 y = cost,
\nt = sinx
\n\u2234\\(\\frac { dy }{ dx } =-sin\\quad t,\\frac { dt }{ dx } =cos\\quad x \\)
\n\\(\\frac { dy }{ dx } =\\frac { dy }{ dt } .\\frac { dt }{ dx } =(-sint)\\times cosx\\)
\nPutting the value of t, \\(\\frac { dy }{ dx } =-sin(sinx)\\times cosx\\)
\n\\(\\frac { dy }{ dx } =-[sin(sinx)]cosx\\)<\/p>\n

\"NCERT<\/p>\n

Ncert Solutions For Class 12 Maths Chapter 5 Exercise 5.2 Question 3.<\/strong>
\nsin(ax+b)
\nSolution:
\nlet = sin(ax+b)
\nput ax+bx = t
\n\u2234 y = sint
\nt = ax+b
\n\\(\\frac { dy }{ dt } =cost,\\frac { dt }{ dx } =\\frac { d }{ dx } (ax+b)=a\\)
\n\\(Now\\frac { dy }{ dx } =\\frac { dy }{ dt } .\\frac { dt }{ dx } =cost\\times a=acos\\quad t\\)
\n\\(\\frac { dy }{ dx } =acos(ax+b)\\)<\/p>\n

Exercise 5.2 Class 12 NCERT Solutions Question 4.<\/strong>
\nsec(tan(\\(\\sqrt{x}\\)))
\nSolution:
\nlet y = sec(tan(\\(\\sqrt{x}\\)))
\nby chain rule
\n\\(\\frac { dy }{ dx } =sec(tan\\sqrt { x } )tan(tan\\sqrt { x } )\\frac { d }{ dx } (tan\\sqrt { x } )\\)
\n\\(\\frac { dy }{ dx } =sec(tan\\sqrt { x } ).tan(tan\\sqrt { x } ){ sec }^{ 2 }\\sqrt { x } .\\frac { 1 }{ 2\\sqrt { x } } \\)<\/p>\n

Question 5.
\n\\(\\\\ \\frac { sin(ax+b) }{ cos(cx+d) } \\)
\nSolution:
\n\"NCERT<\/p>\n

\"NCERT<\/p>\n

Question 6.
\ncos x\u00b3 . sin\u00b2(x5<\/sup>) = y(say)
\nSolution:
\nLet y = cos x\u00b3 . sin\u00b2(x5<\/sup>)
\n\"<\/p>\n

Question 7.
\n\\(2\\sqrt { cot({ x }^{ 2 }) }\\)
\nSolution:
\n\"NCERT<\/p>\n

Question 8.
\ncos(\\(\\sqrt{x}\\))
\nSolution:
\n\"NCERT<\/p>\n

\"NCERT<\/p>\n

Question 9.
\nProve that the function f given by f (x) = |x – 1|, x \u2208 R is not differential at x = 1.
\nSolution:
\n\"NCERT
\n\u2234 f is not differentiable at x = 1<\/p>\n

Question 10.
\nProve that the greatest integer function defined by f (x) = [x], 0 < x < 3 is not differential at x = 1 and x = 2.
\nSolution:
\n\"NCERT
\nHence f is not differentiable at x = 2<\/p>\n","protected":false},"excerpt":{"rendered":"

These NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.2 Questions and Answers are prepared by our highly skilled subject experts. https:\/\/mcq-questions.com\/ncert-solutions-for-class-12-maths-chapter-5-ex-5-2\/ NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Exercise 5.2 Class 12 Maths Chapter 5 Exercise 5.2 Question 1. sin(x\u00b2 + 5) Solution: Let y = …<\/p>\n

NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.2<\/span> Read More »<\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"default","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","spay_email":""},"categories":[3],"tags":[],"yoast_head":"\nNCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.2 - MCQ Questions<\/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:\/\/mcq-questions.com\/ncert-solutions-for-class-12-maths-chapter-5-ex-5-2\/\" \/>\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 5.2 - 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