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

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

Grade:12

1 Answers

Rinkoo Gupta
askIITians Faculty 81 Points
9 years ago

y=xsinx

taking log on both sides

logy= Sinx logx

using product rule of diff.

(1/y )dy/dx=sinx.(1/x)+logx.cosx

dy/dx=xsinx[(sinx)/x+cosx logx]

AskIITians Faculty

Rinkoo Gupta

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