If y=sin ^(-1) (xsqrt( 1-x) +sqrt(x) sqr...

If `y=sin ^(-1) (xsqrt( 1-x) +sqrt(x) sqrt (1-x^(2))),then (dy)/(dx)=`

A

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

B

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

C

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

D

None of these

Verified by Experts

The correct Answer is:

C

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