Math, asked by kiyarao3, 10 months ago

solve this logarithmic differentiation
If don't know don't answer plzz

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Answered by ITZKHUSHI1234567
0

Take the logarithm of the given function: lny=ln(xcosx),⇒lny=cosxlnx. Differentiating the last equation with respect to x, we obtain: (lny)′=(cosxlnx)′,⇒1y⋅y′=(cosx)′lnx+cosx(lnx)′,⇒y′y=(−sinx)⋅lnx+cosx⋅1x,⇒y′y=−sinxlnx+cosxx,⇒y′=y(cosxx−sinxlnx).

Answered by kiyara01
3

hope this attachment will help you

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