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If y=(xcos x-sin x)^(x) ,then (dy)/(dx)...

If ` y=(xcos x-sin x)^(x) ,then (dy)/(dx) =`

A

` y(log (xcosx-sinx )+ (xsin x )/( xcos x -sinx ))`

B

` y(log (xcosx-sinx )- (xsin x )/( xcos x -sinx ))`

C

` y(log (xcosx-sinx )+ (x^(2) sin x )/( xcos x -sinx ))`

D

` y(log (xcosx-sinx )- (x^(2) sin x )/( xcos x -sinx ))`

Text Solution

Verified by Experts

The correct Answer is:
D
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