d/dx[sin^(-1)(xsqrt(1-x)-sqrtxsqrt(1-x^2...

`d/dx[sin^(-1)(xsqrt(1-x)-sqrtxsqrt(1-x^2))]` is equal to

A

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

B

`1/sqrt(1-{xsqrt(1-x)-sqrt(x(1-x^2))}^2)`

C

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

D

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

Verified by Experts

The correct Answer is:

C

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