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The derivative of y = (sin x)^(x^2) wit...

The derivative of `y = (sin x)^(x^2) ` with respect to x is

A

`(sin x) log (sin x)`

B

`x^2(sinx)^(x^2 - 1)`

C

`2x (sin x)^(x^2) cos x + 2 x( sin x)^(x^2) log (sin x)`

D

`x^2 (sin x)^(x^2-1) cos x + 2x(sin x)^(x^2) log (sin x) `

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The correct Answer is:
D
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