Exercise 5.4 Class 12 Maths NCERT Solutions Question 2.<\/strong> \n\\({ e }^{ { sin }^{ -1 }x }\\) \nSolution: \n <\/p>\nQuestion 3. \n\\({ e }^{ { x }^{ 3 } }\\) = y \nSolution: \nLet y = \\({ e }^{ { x }^{ 3 } }\\) \nDifferentiating w.r.t. x, \n\\(\\frac{d y}{d x}=\\frac{d}{d x}\\left(e^{x^{3}}\\right)\\) = \\(e^{x^{3}} \\cdot \\frac{d}{d x}\\left(x^{3}\\right)\\) \n= \\({ e }^{ { x }^{ 3 } }\\).3x\u00b2 = 3x\u00b2\\({ e }^{ { x }^{ 3 } }\\)<\/p>\n
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Question 4. \n\\(sin\\left( { tan }^{ -1 }{ e }^{ -x } \\right)\\) = y \nSolution: \n\\(sin\\left( { tan }^{ -1 }{ e }^{ -x } \\right)\\) = y \n\\(\\frac { dy }{ dx } =cos\\left( { tan }^{ -1 }{ e }^{ -x } \\right) \\frac { d }{ dx } \\left( { tan }^{ -1 }{ e }^{ -x } \\right) \\) \n\\(=cos\\left( { tan }^{ -1 }{ e }^{ -x } \\right) \\frac { 1 }{ 1+{ e }^{ -2x } } \\frac { d }{ dx } \\left( { e }^{ -x } \\right) \\) \n\\(=-cos\\left( { tan }^{ -1 }{ e }^{ -x } \\right) \\frac { 1 }{ 1+{ e }^{ -2x } } .\\left( { e }^{ -x } \\right) \\)<\/p>\n
Question 5. \n\\(log(cos\\quad { e }^{ x })\\) = y \nSolution: \n\\(\\frac { dy }{ dx } =\\frac { 1 }{ cos\\quad { e }^{ x } } \\left( -sin{ e }^{ x } \\right) .{ e }^{ x }\\quad =-tan\\left( { e }^{ x } \\right) \\)<\/p>\n
Question 6. \n\\({ e }^{ x }+{ e }^{ { x }^{ 2 } }+\\)…\\(+{ e }^{ { x }^{ 5 } }\\) = y(say) \nSolution: \n <\/p>\n
Question 7. \n\\(\\sqrt { { e }^{ \\sqrt { x } } }\\), x > 0 \nSolution: \n <\/p>\n
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Question 8. \nlog(log x), x > 1 \nSolution: \ny = log(log x), x > 1 \nDifferentiating w.r.t. x, \n\\(\\frac{d y}{d x}\\) = \\(\\frac{1}{\\log x} \\cdot \\frac{d}{d x}\\)(log x) \n= \\(\\frac{1}{\\log x} \\cdot \\frac{1}{x}\\) = \\(\\frac{1}{x \\log x}\\), x > 1<\/p>\n
Question 9. \n\\(\\frac { cosx }{ logx }\\) = y(say),x>0 \nSolution: \n <\/p>\n
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Question 10. \ncos(log x + ex), x > 0 \nSolution: \n <\/p>\n","protected":false},"excerpt":{"rendered":"
These NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.4 Questions and Answers are prepared by our highly skilled subject experts. https:\/\/mcq-questions.com\/ncert-solutions-for-class-12-maths-chapter-5-ex-5-4\/ NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Exercise 5.4 Ex 5.4 Class 12 NCERT Solutions Question 1. Solution: Exercise 5.4 Class 12 Maths NCERT Solutions …<\/p>\n
NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.4<\/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 5.4 - MCQ Questions<\/title>\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\t \n\t \n\t \n