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If y= sqrt (sin x +sqrt cos x ), then (d...

`If y= sqrt (sin x +sqrt cos x ), then (dy)/(dx) =`

A

` (2cos x sqrt (cos x )-sin x )/( 4sqrt (cosx sqrt sin x +sqrtcos x ))`

B

` (2cos x sqrt (cos x )+ sin x )/( 4sqrt (cosx sqrt sin x +sqrtcos x ))`

C

` (2cos x sqrt (cos x )- sin x )/( 2sqrt (cosx sqrt sin x +sqrtcos x ))`

D

` (2cos x sqrt (cos x )+ sin x )/( 2sqrt (cosx sqrt sin x +sqrtcos x ))`

Text Solution

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The correct Answer is:
A
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