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If y= sin(2 sin^(-1) x), then dy/dx= ......

If `y= sin(2 sin^(-1) x)`, then dy/dx= ............ A) `frac{2-4x^2}{sqrt (1-x^2)}` B) `frac{2+4x^2}{sqrt (1-x^2)}` C) `frac{4x^2 - 1}{sqrt (1-x^2)}` D) `frac{1-2x^2}{sqrt (1-x^2)}`

A

`(2-4x^(2))/sqrt(1-x^(2))`

B

`(2+4x^(2))/sqrt(1-x^(2))`

C

`(2-4x^(2))/sqrt(1+x^(2))`

D

`(2+4x^(2))/sqrt(1+x^(2))`

Text Solution

Verified by Experts

The correct Answer is:
A
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