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

If `y = tan^(-1) [x/(1+sqrt(1-x^(2)))]` + sin [2tan^(-1) sqrt((1-x)/(1+x))] dy/dx =`

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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