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

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

A

` y( (sin x )/(xlog x )- (cos x) log (log x ))`

B

` y( (sin x )/(xlog x )+ (cos x) log (log x ))`

C

` y( (cos x )/(xlog x )- (sin x) log (log x ))`

D

` y( (cos x )/(xlog x )+ (sin x) log (log x ))`

Text Solution

Verified by Experts

The correct Answer is:
B
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