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

If `y = tan^(-1) ((sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x)))` then dy/dx =

A

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

B

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

C

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

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
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