If y=sin(sqrt(sinx+cosx)), find (dy)/(dx...

If `y=sin(sqrt(sinx+cosx)),` find `(dy)/(dx)`.

A

`(1)/(2) (cos sqrt(sinx+cosx))/(sqrt(sinx+cosx))`

B

`(cos sqrt(sinx+cosx))/(sqrt(sinx+cosx))`

C

`1/2 (cos sqrt(sinx+cosx))/(sqrt(sinx+cosx)).(cosx-sinx)`

D

None of these

Verified by Experts

The correct Answer is:

C

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