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If y=(sinx +cosx )^((1+tanx )),then (dy...

If ` y=(sinx +cosx )^((1+tanx )),then (dy)/(dx) =`

A

` y( 1+tanx +(sec ^(2) x )log (sinx +cos x) )`

B

` y( 1-tanx -(sec ^(2) x )log (sinx +cos x) )`

C

` y( 1+tanx -(sec ^(2) x )log (sinx +cos x) )`

D

` y( 1-tanx +(sec ^(2) x )log (sinx +cos x) )`

Text Solution

Verified by Experts

The correct Answer is:
D
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