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

The derivative of `tan^(-1)((sqrt(1+x^2)-1)/x)` with respect to `tan^(-1)((2xsqrt(1-x^2))/(1-2x^2))` at `x=0` is `1/8` (b) `1/4` (c) `1/2` (d) 1

A

`1/8`

B

`1/4`

C

`1/2`

D

1

Verified by Experts

The correct Answer is:

B

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