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

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

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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