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

The derivative of `tan^(-1) [(sqrt(1 + x^(2)) - 1)/(x)]` with respect to `tan^(-1)` x is

A

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

B

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

C

1

D

`1/2`

Text Solution

Verified by Experts

The correct Answer is:
D
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