{"id":40990,"date":"2024-02-19T07:37:09","date_gmt":"2024-02-19T02:07:09","guid":{"rendered":"https:\/\/www.aplustopper.com\/?p=40990"},"modified":"2024-02-19T12:36:54","modified_gmt":"2024-02-19T07:06:54","slug":"plus-one-maths-chapter-wise-previous-questions-chapter-13","status":"publish","type":"post","link":"https:\/\/www.aplustopper.com\/plus-one-maths-chapter-wise-previous-questions-chapter-13\/","title":{"rendered":"Plus One Maths Chapter Wise Previous Questions Chapter 13 Limits and Derivatives"},"content":{"rendered":"

Kerala Plus One Maths Chapter Wise\u00a0Previous Questions Chapter 13 Limits and Derivatives<\/h2>\n

Plus One Maths Limits and Derivatives 3 Marks Important Questions<\/h3>\n

Question 1.
\nFind the derivative of y = tan x from first principles. (MARCH-2010)<\/span>
\nAnswer:
\n\"Plus<\/p>\n

Question 2.
\nChoose the most appropriate answer from those given in the bracket (IMP-2010)<\/span>
\n\"Plus
\nAnswer:
\n\"Plus<\/p>\n

Question 3.
\n\"Plus
\n(IMP-2010)<\/span>
\nAnswer:
\n\"Plus<\/p>\n

Question 4.
\nUsing the first principle of derivatives, find the derivatives of \\(\\frac { 1 }{ x }\\)\u00a0(MARCH-2011)<\/span>
\nAnswer:
\n\"Plus<\/p>\n

Question 5.
\nUsing the quotient rule find the derivative mof f(x) = cot x\u00a0(MARCH-2011)<\/span>
\nAnswer:
\n\"Plus<\/p>\n

Question 6.
\nFind the derivatives of the following:\u00a0(MARCH-2011)<\/span>
\n\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/06\/Plus-One-Maths-Chapter-Wise-Previous-Questions-Chapter-13-Limits-and-Derivatives-8.png\"
\nAnswer:
\n\"Plus<\/p>\n

Question 7.
\nProve that\u00a0(MARCH-2012)<\/span>
\n\"Plus
\nAnswer:
\n\"Plus<\/p>\n

Question 8.
\nFind the derivative of y = cotx from first principles.\u00a0(MARCH-2012)<\/span>
\nAnswer:
\n\"Plus<\/p>\n

Question 9.
\ni) The value of \\(\\lim _{x \\rightarrow 0} \\frac{\\sin x}{x}\\)\u00a0(MARCH-2013)<\/span>
\nii) Evaluate \\(\\lim _{x \\rightarrow 0} \\frac{\\sin 4 x}{3 x}\\)
\nAnswer:
\ni) 1
\nii)
\n\"Plus<\/p>\n

Question 10.
\ni) The value of \\(\\lim _{x \\rightarrow a} \\frac{x^{n}-a^{n}}{x-a}\\)\u00a0(MARCH-2013)<\/span>
\nii) Evaluate \\lim _{x \\rightarrow 1} \\frac{x^{15}-1}{x^{10}-1}
\nAnswer:
\n\"Plus<\/p>\n

Question 11.
\nFind the derivative of f(x) = sin x from the first principle.\u00a0(MARCH-2013)<\/span>
\nAnswer:
\n\"Plus<\/p>\n

Question 12.
\nFind the derivative of \\(\\frac{x+\\cos x}{\\tan x}\\)\u00a0(MARCH-2014)<\/span>
\nAnswer:
\n\"Plus<\/p>\n

Question 13.
\nFind the derivatives of f(x) = sinx using the first principle.\u00a0(MARCH-2014)<\/span>
\nAnswer:
\n\"Plus<\/p>\n

Question 14.
\nFind the derivative of \\(\\frac{x^{5}-\\cos x}{\\sin x}\\) using the quotient rule.\u00a0(MARCH-2014)<\/span>
\nAnswer:
\n\"Plus<\/p>\n

Question 15.
\nUsing the first principle, find the derivative of cosx .\u00a0(IMP-2011)<\/span>
\nAnswer:
\n\"Plus<\/p>\n

Question 16.
\nFind the derivative of \\(\\frac{\\cos x}{2 x+3}\\)\u00a0(IMP-2012)<\/span>
\nAnswer:
\n\"Plus<\/p>\n

Plus One Maths Limits and Derivatives 4 Marks Important Questions<\/h3>\n

Question 1.
\nEvaluate\u00a0(MARCH-2010)<\/span>
\n\"Plus
\nAnswer:
\n\"Plus<\/p>\n

Question 2.
\n\"Plus(MARCH-2011)<\/span>
\nAnswer:
\n\"Plus<\/p>\n

Question 3.
\nCompute the derivative of sec x with respect to x from first principle.\u00a0(IMP-2010)<\/span>
\nAnswer:
\n\"Plus<\/p>\n

Question 4.
\nFind \\(\\lim _{x \\rightarrow 2} \\frac{x^{4}-4 x^{2}}{x^{2}-4}\\)\u00a0(IMP-2011)<\/span>
\nii) If y = sin 2x .Prove that \\(\\frac{d y}{d x}=\\) = 2cos2x
\nAnswer:
\n\"Plus<\/p>\n

Question 5.
\n\"Plus
\n(IMP-2011)<\/span>
\nAnswer:
\n\"Plus<\/p>\n

Question 6.
\nFind the derivative of y = cosec x from first principle.\u00a0(IMP-2012)<\/span>
\nAnswer:
\n\"Plus<\/p>\n

Question 7.
\nFind the derivative of y = cosec x from first principle.\u00a0(IMP-2012)<\/span>
\nAnswer:
\n\"Plus<\/p>\n

Question 8.
\nFind the derivative of \\(\\frac{x+1}{x-1}\\) from first principle\u00a0(IMP-2013)<\/span>
\nAnswer:
\n\"Plus
\n\"Plus<\/p>\n

Question 9.
\ni) The value of \\(\\lim _{x \\rightarrow 0} \\frac{\\sin 5 x}{5 x}\\)\u00a0(MARCH-2014)<\/span>
\nii) Evaluate \\(\\lim _{x \\rightarrow 0} \\frac{\\sin a x}{\\sin b x}, a, b \\neq 0\\)
\nAnswer:
\ni) 1
\nii)
\n\"Plus<\/p>\n

Plus One Maths Limits and Derivatives 6 Marks Important Questions<\/h3>\n

Question 1.
\nFind the derivative of \\(\\frac{1}{x}\\) from first principle.\u00a0(IMP-2010)<\/span>
\nFind the derivative of
\n(ax + b)n<\/sup> (ax + c)m<\/sup>
\nAnswer:
\n\"Plus<\/p>\n

Question 2.
\ni) Find \\(\\lim _{x \\rightarrow-2} \\frac{x^{2}+5 x+6}{x^{2}+3 x+2}\\)\u00a0(IMP-2011)<\/span>
\nii) Find f ‘(x) given f(x) = \\(\\frac{x^{2}+5 x+6}{x^{2}+3 x+2}\\)
\nAnswer:
\n\"Plus<\/p>\n

Question 3.
\ni) Evaluate \\(\\lim _{x \\rightarrow 3}\\left(\\frac{x^{3}-27}{x^{2}-9}\\right)\\)\u00a0(MARCH-2012)<\/span>
\nii) Evaluate \\(\\lim _{x \\rightarrow 0} \\frac{\\tan x-\\sin x}{\\sin ^{3} x}\\)
\nAnswer:
\n\"Plus<\/p>\n

Question 4.
\ni) Evaluate \\(\\lim _{x \\rightarrow 0} \\frac{\\sin 5 x}{\\sin 3 x}\\)\u00a0(MARCH-2013)<\/span>
\nii) Find the derivate of y = cosx from the first principle.
\nAnswer:
\ni)
\n\"Plus
\nii)
\n\"Plus<\/p>\n

Question 5.
\ni) Find the derivative of \\(\\frac{\\sin x}{x+\\cos x}\\)\u00a0(MARCH-2014)<\/span>
\nii) Match the following:
\n\"Plus
\nAnswer:
\n\"Plus
\n\"Plus<\/p>\n

Question 6.
\ni) \\(\\frac{d}{d x}(\\tan x)\\) = ………\u00a0(IMP-2014)<\/span>
\nii) Find the derivative of 3 tan x + 5 sec x
\niii) Find the derivative of \/(x) = (x\u00b2 + 1)sinx
\nAnswer:
\n\"Plus
\n\"Plus<\/p>\n

Question 7.
\ni) Match the following\u00a0(MARCH-2015)<\/span>
\n\"Plus
\nii) Find the derivative of tanx using first principle.
\nAnswer:
\n\"Plus
\n\"Plus<\/p>\n

Question 8.
\ni) Match the following:\u00a0(MARCH-2015)<\/span>
\n\"Plus
\nii)
\n\"Plus
\nAnswer:
\n\"Plus<\/p>\n

Question 9.
\n\"Plus
\niii) Using first principles, find the derivative of cos x.\u00a0(IMP-2015)<\/span>
\nAnswer:
\n\"Plus
\niii)<\/p>\n

\"Plus<\/p>\n

Question 10.
\ni) Derivative of x\u00b2 – 2 at x = 10 is\u00a0(IMP-2016)<\/span>
\na) 10
\nb) 20
\nc) -10
\nd) -20
\n\"Plus
\nAnswer:
\n\"Plus<\/p>\n

Question 11.
\ni) \\(\\frac{d}{d x}\\left(\\frac{x^{n}}{n}\\right)\\) = …………\u00a0(MARCH-2016)<\/span>
\nii) Differentiate \\(y=\\frac{\\sin x}{x+1}\\) with respect to x
\niii) Use first principles, find the derivative of cosx.
\nAnswer:
\n\"Plus
\niii)
\n\"Plus<\/p>\n

Question 12.
\ni) \\(\\frac{d}{d x}(-\\sin x)\\) = …………..\u00a0(MARCH-2016)<\/span>
\nii) Find\\(\\frac{d y}{d x}\\) if \\(y=\\frac{a}{x^{4}}-\\frac{b}{x^{2}}+\\cos x\\) where a, b are constants.
\niii) Using first principles, find the derivative of sinx.
\nAnswer:
\n\"Plus
\niii)
\n\"Plus<\/p>\n

Question 14.
\n\"Plus
\niii) Using the first principle, find the derivative of cosx\u00a0(MAY-2017)<\/span>
\nAnswer:
\n\"Plus
\niii)
\n\"Plus<\/p>\n

Question 15.
\n\"Plus
\n(MARCH-2017)<\/span>
\nAnswer:
\ni) cos x
\nii)
\n\"Plus
\niii)
\n\"Plus<\/p>\n

Question 16.
\ni) \\(\\lim _{x \\rightarrow 0} \\frac{e^{\\sin x}-1}{x}=\\) …….(MARCH-2017)<\/span>
\na) 0
\nb) 1
\nc) 2
\nd) 3
\nii) Find
\n\\(\\lim _{x \\rightarrow 0} \\frac{\\sqrt{1+x}-1}{x}\\)
\niii) Find the derivative of f(x) = sin x by using first principal.
\nAnswer:
\ni) b) 1
\nii)
\n\"Plus
\niii)
\n\"Plus<\/p>\n

Plus One Maths Chapter Wise Previous Questions and Answer<\/a><\/h4>\n

 <\/p>\n","protected":false},"excerpt":{"rendered":"

Kerala Plus One Maths Chapter Wise\u00a0Previous Questions Chapter 13 Limits and Derivatives Plus One Maths Limits and Derivatives 3 Marks Important Questions Question 1. Find the derivative of y = tan x from first principles. (MARCH-2010) Answer: Question 2. Choose the most appropriate answer from those given in the bracket (IMP-2010) Answer: Question 3. (IMP-2010) […]<\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","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":"","footnotes":""},"categories":[42728],"tags":[],"yoast_head":"\nPlus One Maths Chapter Wise Previous Questions Chapter 13 Limits and Derivatives - A Plus Topper<\/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.aplustopper.com\/plus-one-maths-chapter-wise-previous-questions-chapter-13\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Plus One Maths Chapter Wise Previous Questions Chapter 13 Limits and Derivatives\" \/>\n<meta property=\"og:description\" content=\"Kerala Plus One Maths Chapter Wise\u00a0Previous Questions Chapter 13 Limits and Derivatives Plus One Maths Limits and Derivatives 3 Marks Important Questions Question 1. Find the derivative of y = tan x from first principles. (MARCH-2010) Answer: Question 2. Choose the most appropriate answer from those given in the bracket (IMP-2010) Answer: Question 3. (IMP-2010) […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.aplustopper.com\/plus-one-maths-chapter-wise-previous-questions-chapter-13\/\" \/>\n<meta property=\"og:site_name\" content=\"A Plus Topper\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/aplustopper\/\" \/>\n<meta property=\"article:published_time\" content=\"2024-02-19T02:07:09+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2024-02-19T07:06:54+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/06\/Plus-One-Maths-Chapter-Wise-Previous-Questions-Chapter-13-Limits-and-Derivatives-1.png\" \/>\n<meta name=\"twitter:card\" content=\"summary\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Prasanna\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"4 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Organization\",\"@id\":\"https:\/\/www.aplustopper.com\/#organization\",\"name\":\"Aplus Topper\",\"url\":\"https:\/\/www.aplustopper.com\/\",\"sameAs\":[\"https:\/\/www.facebook.com\/aplustopper\/\"],\"logo\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/www.aplustopper.com\/#logo\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2018\/12\/Aplus_380x90-logo.jpg\",\"contentUrl\":\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2018\/12\/Aplus_380x90-logo.jpg\",\"width\":1585,\"height\":375,\"caption\":\"Aplus Topper\"},\"image\":{\"@id\":\"https:\/\/www.aplustopper.com\/#logo\"}},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.aplustopper.com\/#website\",\"url\":\"https:\/\/www.aplustopper.com\/\",\"name\":\"A Plus Topper\",\"description\":\"Improve your Grades\",\"publisher\":{\"@id\":\"https:\/\/www.aplustopper.com\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/www.aplustopper.com\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/www.aplustopper.com\/plus-one-maths-chapter-wise-previous-questions-chapter-13\/#primaryimage\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/06\/Plus-One-Maths-Chapter-Wise-Previous-Questions-Chapter-13-Limits-and-Derivatives-1.png\",\"contentUrl\":\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/06\/Plus-One-Maths-Chapter-Wise-Previous-Questions-Chapter-13-Limits-and-Derivatives-1.png\",\"width\":313,\"height\":433,\"caption\":\"Plus One Maths Chapter Wise Previous Questions Chapter 13 Limits and Derivatives 1\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.aplustopper.com\/plus-one-maths-chapter-wise-previous-questions-chapter-13\/#webpage\",\"url\":\"https:\/\/www.aplustopper.com\/plus-one-maths-chapter-wise-previous-questions-chapter-13\/\",\"name\":\"Plus One Maths Chapter Wise Previous Questions Chapter 13 Limits and Derivatives - 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Find the derivative of y = tan x from first principles. (MARCH-2010) Answer: Question 2. Choose the most appropriate answer from those given in the bracket (IMP-2010) Answer: Question 3. 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