The derivative of tan^-1 ((2x)/(1-x^2)) ...

The derivative of `tan^-1 ((2x)/(1-x^2))` with respect to `cos^-1 sqrt(1-x^2)` is a)`(sqrt(1-x^2))/(1+x^2)` b)`1/sqrt(1-x^2)` c)`2/(1+x^2)` d)`(2sqrt(1-x^2))/(1+x^2)`

A

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

B

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

C

`2/(1+x^2)`

D

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

Verified by Experts

The correct Answer is:

D

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