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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

`frac{2-4`x^2`}{`sqrt (1-`x^2`)}`

B

`frac{2+4`x^2`}{`sqrt (1-`x^2`)}`

C

`frac{4`x^2` - 1}{`sqrt (1-`x^2`)}`

D

`frac{1-2`x^2`}{`sqrt (1-`x^2`)}`

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