If y = tan^(-1)((x)/(sqrt(1 -x^2))), the...

If `y = tan^(-1)((x)/(sqrt(1 -x^2)))`, then `(dy)/(dx)` is equal to

A

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

B

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

C

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

D

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

Verified by Experts

The correct Answer is:

C

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