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differentiate the following function with respect to x (sin^-1(x))^x

differentiate the following function with respect to x
(sin^-1(x))^x

Grade:12

1 Answers

Rinkoo Gupta
askIITians Faculty 80 Points
6 years ago

Y=(sin-1x)x

taking log on both sides

logy=xlogsin-1x

(1/y )dy/dx=x.1/sin-1x.1/√(1-x2) +logsin-1x .1

dy/dx=(sin-1x)x[x/{sin-1x√(1-x2)}+logsin-1x]

AskIITians Faculty

Rinkoo Gupta

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