If y=sqrt(x+sqrt(y+sqrt(x+sqrt(y+...oo))...

If `y=sqrt(x+sqrt(y+sqrt(x+sqrt(y+...oo))))`, then `(dy)/(dx)` is equal to

A

`(y+x)/(y^(2)-2x)`

B

`(y^(3)-x)/(2y^(2)-2xy-1)`

C

`(y^3+x)/(2y^(2)-x)`

D

None of these

Verified by Experts

The correct Answer is:

D

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