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

If `y= tan^(-1) (sqrt (frac {a-x}{a+x}))`, where `-a < x < a` then `dy/dx`= ........ A) `frac{x}{sqrt (x^2 + a^2)}` B) `frac{a}{sqrt (a^2 + x^2)}` C) `frac{1}{2 sqrt (a^2 - x^2)}` D) `-frac{1}{2 sqrt (a^2 - x^2)}`

A

`frac{x}{`sqrt (`x^2` + `a^2`)`}`

B

`frac{a}{`sqrt (`a^2` + `x^2`)`}`

C

`frac{1}{2 `sqrt (`a^2` - `x^2`)`}`

D

`frac{1}{2 `sqrt (`a^2` - `x^2`)`}`

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