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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)))]`, then `(dy)/(dx)`= ....

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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