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If y=(log(cosx)sinx)(log(nx)cosx)+sin^(-...

If `y=(log_(cosx)sinx)(log_(nx)cosx)+sin^(-1)""(2x)/(1+x^(2))`, then `(dy)/(dx)` at `x=(pi)/(2)` is equal to:

A

`(8)/((4+pi^(2)))`

B

0

C

`-(8)/((4+pi^(2)))`

D

1

Text Solution

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The correct Answer is:
A
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MCGROW HILL PUBLICATION-DIFFERENTIABILITY AND DIFFERENTIATION -EXERCISE (LEVEL 1) Single Correct Answer Type Questions
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  3. If y=(log(cosx)sinx)(log(nx)cosx)+sin^(-1)""(2x)/(1+x^(2)), then (dy)/...

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  5. Let f:(-1,1)toR be a differentiable function with f(0)=-1 and f'(0)=1....

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  10. For a real number y, let [y] denote the greatest integer less than or ...

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  13. The st of all poinst of differentiability of the function f(x)=(sqrt...

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  14. If x=sin^(-1)t and y=log(1-t^(2)), then (d^(2)y)/(dx^(2))|(t=1//2) is

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  15. If y^(2)+x^(2)=R^(2) and k=1//R, then k is equal to

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