Q 1551423324.     If `y = tan^-1 ((sqrt(1 +x^2) - sqrt(1 - x^2))/(sqrt(1 + x^2) + sqrt(1 - x^2)))`, then `dy/dx` is equal to:

BITSAT 2006
A

`x^2/(sqrt(1 - x^4))`

B

`x^2/(sqrt(1 + x^4))`

C

`x/(sqrt(1 + x^4))`

D

`x/(sqrt(1 - x^4))`

HINT

Put `x^2 = cos 2theta`
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