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If y= (sinx -cos x )^((sin x +cos x ) )...

If ` y= (sinx -cos x )^((sin x +cos x ) ),then (dy)/(dx)=`

A

` y(((sin x+cos x )^(2))/( sin x-cos x )+ (cosx -sinx )log (sinx -cos x ) )`

B

` y(((sin x+cos x )^(2))/( sin x-cos x )- (cosx -sinx )log (sinx -cos x ) )`

C

` y((sin x+cos x )/( sin x-cos x )+ (cosx -sinx )log (sinx -cos x ) )`

D

` y((sin x+cos x )/( sin x-cos x )- (cosx -sinx )log (sinx -cos x ) )`

Text Solution

Verified by Experts

The correct Answer is:
A
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