Differentiate the following with respect...

Differentiate the following with respect of `x\ :tan^(-1)\ ((sqrt(1+x)\ \ -\ \ sqrt(1-x))/(sqrt(1+x\ \ )+\ \ sqrt(1-x)))\ `

A

`sqrt(1-x^2)`

B

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

C

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

D

x

Verified by Experts

The correct Answer is:

C

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