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If y= ( (sinx )^(logx) )/( 1+x^(2)),then...

If `y= ( (sinx )^(logx) )/( 1+x^(2)),then (dy)/(dx) =`

A

`y((logx )cotx +(log (sin x ))/( x )+(2x)/( 1+x^(2)))`

B

`y((logx )cotx +(log (sin x ))/( x )-(2x)/( 1+x^(2)))`

C

`y((logx )cotx -(log (sin x ))/( x )+(2x)/( 1+x^(2)))`

D

`y((logx )cotx -(log (sin x ))/( x )-(2x)/( 1+x^(2)))`

Text Solution

Verified by Experts

The correct Answer is:
B
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