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Find (dy)/(dx) when y=tan^(- 1)(x/(1+sqr...

Find `(dy)/(dx)` when `y=tan^(- 1)(x/(1+sqrt(1-x^2)))+sin[2tan^(- 1)sqrt((1-x)/(1+x))]` ?

A

`(2-x)/(2sqrt(1-x^2))`

B

`(1-2x)/(xsqrt(1-x^2))`

C

`(2x+1)/(xsqrt(1-x))`

D

`(1-2x)/(2sqrt(1-x^2))`

Text Solution

Verified by Experts

The correct Answer is:
D
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