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If y = tan^(-1) {(sqrt(1 + x^(2)) -1)/(x...

If `y = tan^(-1) {(sqrt(1 + x^(2)) -1)/(x)} " then " (dy)/(dx)=` ?

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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