Differentiate tan^(-1)[(sqrt(1+x^2)-1)/x...

Differentiate `tan^(-1)[(sqrt(1+x^2)-1)/x]` with respect to `x`

A

`(1)/( 2) . ( 1)/( 1 + x^(2))`

B

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

C

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

D

`(1)/(2). (1)/( 1+ 2x)`

Verified by Experts

The correct Answer is:

A

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