{"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":"
Question 1. Question 2. Question 3. Question 4. Question 5. Question 6. Question 7. Question 8. Question 9. Question 10. Question 11. Question 12. Question 13. Question 14. Question 15. Question 16. Question 1. Question 2. Question 3. Question 4. Question 5. Question 6. Question 7. Question 8. Question 9. Question 1. Question 2. Question 3. Question 4. Question 5. Question 6. Question 7. Question 8. Question 9. <\/p>\n Question 10. Question 11. Question 12. Question 14. Question 15. Question 16. <\/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":"\n
\nFind the derivative of y = tan x from first principles. (MARCH-2010)<\/span>
\nAnswer:
\n<\/p>\n
\nChoose the most appropriate answer from those given in the bracket (IMP-2010)<\/span>
\n
\nAnswer:
\n<\/p>\n
\n
\n(IMP-2010)<\/span>
\nAnswer:
\n<\/p>\n
\nUsing the first principle of derivatives, find the derivatives of \\(\\frac { 1 }{ x }\\)\u00a0(MARCH-2011)<\/span>
\nAnswer:
\n<\/p>\n
\nUsing the quotient rule find the derivative mof f(x) = cot x\u00a0(MARCH-2011)<\/span>
\nAnswer:
\n<\/p>\n
\nFind the derivatives of the following:\u00a0(MARCH-2011)<\/span>
\n
\nAnswer:
\n<\/p>\n
\nProve that\u00a0(MARCH-2012)<\/span>
\n
\nAnswer:
\n<\/p>\n
\nFind the derivative of y = cotx from first principles.\u00a0(MARCH-2012)<\/span>
\nAnswer:
\n<\/p>\n
\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<\/p>\n
\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<\/p>\n
\nFind the derivative of f(x) = sin x from the first principle.\u00a0(MARCH-2013)<\/span>
\nAnswer:
\n<\/p>\n
\nFind the derivative of \\(\\frac{x+\\cos x}{\\tan x}\\)\u00a0(MARCH-2014)<\/span>
\nAnswer:
\n<\/p>\n
\nFind the derivatives of f(x) = sinx using the first principle.\u00a0(MARCH-2014)<\/span>
\nAnswer:
\n<\/p>\n
\nFind the derivative of \\(\\frac{x^{5}-\\cos x}{\\sin x}\\) using the quotient rule.\u00a0(MARCH-2014)<\/span>
\nAnswer:
\n<\/p>\n
\nUsing the first principle, find the derivative of cosx .\u00a0(IMP-2011)<\/span>
\nAnswer:
\n<\/p>\n
\nFind the derivative of \\(\\frac{\\cos x}{2 x+3}\\)\u00a0(IMP-2012)<\/span>
\nAnswer:
\n<\/p>\nPlus One Maths Limits and Derivatives 4 Marks Important Questions<\/h3>\n
\nEvaluate\u00a0(MARCH-2010)<\/span>
\n
\nAnswer:
\n<\/p>\n
\n(MARCH-2011)<\/span>
\nAnswer:
\n<\/p>\n
\nCompute the derivative of sec x with respect to x from first principle.\u00a0(IMP-2010)<\/span>
\nAnswer:
\n<\/p>\n
\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<\/p>\n
\n
\n(IMP-2011)<\/span>
\nAnswer:
\n<\/p>\n
\nFind the derivative of y = cosec x from first principle.\u00a0(IMP-2012)<\/span>
\nAnswer:
\n<\/p>\n
\nFind the derivative of y = cosec x from first principle.\u00a0(IMP-2012)<\/span>
\nAnswer:
\n<\/p>\n
\nFind the derivative of \\(\\frac{x+1}{x-1}\\) from first principle\u00a0(IMP-2013)<\/span>
\nAnswer:
\n
\n<\/p>\n
\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<\/p>\nPlus One Maths Limits and Derivatives 6 Marks Important Questions<\/h3>\n
\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<\/p>\n
\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<\/p>\n
\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<\/p>\n
\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
\nii)
\n<\/p>\n
\ni) Find the derivative of \\(\\frac{\\sin x}{x+\\cos x}\\)\u00a0(MARCH-2014)<\/span>
\nii) Match the following:
\n
\nAnswer:
\n
\n<\/p>\n
\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
\n<\/p>\n
\ni) Match the following\u00a0(MARCH-2015)<\/span>
\n
\nii) Find the derivative of tanx using first principle.
\nAnswer:
\n
\n<\/p>\n
\ni) Match the following:\u00a0(MARCH-2015)<\/span>
\n
\nii)
\n
\nAnswer:
\n<\/p>\n
\n
\niii) Using first principles, find the derivative of cos x.\u00a0(IMP-2015)<\/span>
\nAnswer:
\n
\niii)<\/p>\n
\ni) Derivative of x\u00b2 – 2 at x = 10 is\u00a0(IMP-2016)<\/span>
\na) 10
\nb) 20
\nc) -10
\nd) -20
\n
\nAnswer:
\n<\/p>\n
\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
\niii)
\n<\/p>\n
\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
\niii)
\n<\/p>\n
\n
\niii) Using the first principle, find the derivative of cosx\u00a0(MAY-2017)<\/span>
\nAnswer:
\n
\niii)
\n<\/p>\n
\n
\n(MARCH-2017)<\/span>
\nAnswer:
\ni) cos x
\nii)
\n
\niii)
\n<\/p>\n
\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
\niii)
\n<\/p>\nPlus One Maths Chapter Wise Previous Questions and Answer<\/a><\/h4>\n