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

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

Grade:12

1 Answers

Rinkoo Gupta
askIITians Faculty 80 Points
8 years ago

y=xsinx

taking log on both sides

logy=sinx.logx

diff.w.r.to x using product rule of two function

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

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

Thanks & Regards

Rinkoo Gupta

askIITians Faculty

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