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If y=sin^(-1)[x(1-x)-sqrtxsqrt(1-x^(2))]...

If `y=sin^(-1)[x(1-x)-sqrtxsqrt(1-x^(2))],` find `(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

Text Solution

Verified by Experts

The correct Answer is:
C
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