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If f(x)=cos^(-1) sqrt x, 0 < x < 1,which...

If `f(x)=cos^(-1) sqrt x`, `0 < x < 1`,which of the following is equal to f'(x)?

A

`frac{-1}{sqrt (1-x)}`

B

`frac{1}{sqrt (1-x)}`

C

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

D

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

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