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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)` =

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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