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

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

A

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

B

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

C

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

D

`cos(sqrt(sinx + cosx))`

Text Solution

Verified by Experts

The correct Answer is:
C
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