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

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

A

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