If , find dy/dx. – InterviewSolution

1.

If , find dy/dx.

Answer»

Step-by-step explanation:

GIVEN y= $sinx^{cosx}$

by log on both SIDES we GET

logy=cosx *logsinx

now DIFFRENTIATE with respect to x we get

1/y*dy/dx=cosx/sinx+logsinx(-sinx)

dy/dx= (cosx- $sin^{2} x$ logx) $sinx^{cosx}$ /sinx

hope i answered the question

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