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

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

Grade:12

1 Answers

Rinkoo Gupta
askIITians Faculty 80 Points
6 years ago

let y1=(sinx)cosx

taking log on both sides

logy1=cosx.logsinx

diff. w. r. to x using product rule,we get

1/y1.dy1/dx=cosx.(1/sinx).cosx+logsinx.(-sinx)

dy1/dx=(sinx)cosx[cos2x- sin2x.logsinx]/sinx

Thanks & Regards

Rinkoo Gupta

AskIITians Faculty

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