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If y = tan^-1 {x/(1+ sqrt(1-x^2)} + sin ...

If `y = tan^-1 {x/(1+ sqrt(1-x^2)} + sin {2tan^-1 sqrt(1-x/1+x)`, then dy/dx =

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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