If y=sqrt(sinx+sqrt(sinx+sqrt(sinx+...oo...

If `y=sqrt(sinx+sqrt(sinx+sqrt(sinx+...oo,)))` where `sinxgt0`, then find `(dy)/(dx)`.

A

1

B

`(1)/(xy)`

C

`(1)/(2y-x)`

D

`(1)/(2y-1)`

Verified by Experts

The correct Answer is:

D

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