If y = sin^(-1) sqrt(1-x), then (dy)/(dx...

If `y = sin^(-1) sqrt(1-x)`, then `(dy)/(dx)` is equal to

A

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

B

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

C

`(1)/(sqrt(x))`

D

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

Verified by Experts

The correct Answer is:

D

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