If y= tan^(-1) (frac{x}{1+ sqrt (1 - x^2...

If y= `tan^(-1) (frac{x}{1+ sqrt (1 - x^2)}) + sin[ 2tan^(-1) (sqrt ((1-x)/(1+x)))]`, then dy/dx= ............

A

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

B

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

C

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

D

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

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