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Limits and Derivatives

Short Answer Type

61. Find the derivatives of the following :

space space space space space space space space space space space space space space space space space space space fraction numerator ax squared plus bx plus straight c over denominator px squared plus qx plus straight r end fraction

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62.

Find $space space space space space space space space space space space space space space space space space space space space dy over dx space space if space left parenthesis straight i right parenthesis space straight y space space equals space fraction numerator 1 minus square root of straight x over denominator 1 plus square root of straight x end fraction$

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63.

Find $space space space space space space space space space space space space space space space space space space space space space space space space space space space space dy over dx space space if space left parenthesis straight i right parenthesis space straight y space space equals space fraction numerator straight x squared minus straight x plus 1 over denominator straight x squared plus straight x plus 1 end fraction$

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64.

Derivative of tan x :

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65. Derivative of cot x :

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66. Derivative of sec x :

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67. Derivative of cosec x :

173 Views

68. Find the derivatives of the following functions from first principle :

sin (x+1)

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69. Find the derivatives of the following functions from first principle :

$space space space space space space space space space space space space space space open parentheses straight x minus straight pi over 8 close parentheses$

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70.
Find the derivatives of the following functions :

5 sin x - 6 cos x +7

Let y = 5 sin x - 6 cos x +7

Differntiating both sides w.r.t. x, we get.

$space space space space space space space space space space space space space space space dy over dx equals space straight d over dx left parenthesis 5 space sin space straight x space minus space 6 space cos space straight x space plus space 7 right parenthesis space equals space 5 space straight d over dx left parenthesis sin space straight x right parenthesis space minus space 6 straight d over dx cos space straight x space plus space straight d over dx left parenthesis 7 right parenthesis$

= 5cos x - 6(-sin x)+0 - 5 cos x + 6 sin x

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Previous Year Papers

Test Series

Test Yourself

Short Answer Type

70. Find the derivatives of the following functions :5 sin x - 6 cos x +7

70.
Find the derivatives of the following functions :

5 sin x - 6 cos x +7