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If y=sqrt(x+sqrt(x+sqrt(x+...infty))),th...

If `y=sqrt(x+sqrt(x+sqrt(x+...infty))),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)`.

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