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If y= ( (cosx )^(x))/( 1+x-x^(2)),then ...

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

A

` y(log (cos x)+xtan x + (2x-1)/( 1+x-x^(2)))`

B

` y(log (cos x)-xtan x - (2x-1)/( 1+x-x^(2)))`

C

` y(log (cos x)+xtan x - (2x-1)/( 1+x-x^(2)))`

D

` y(log (cos x)-xtan x + (2x-1)/( 1+x-x^(2)))`

Text Solution

Verified by Experts

The correct Answer is:
D
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