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(d)/(dx)[sin^(-1)(xsqrt(1 - x)- sqrt(x)s...

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

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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