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

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

A

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

B

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

C

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

D

none of these

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The correct Answer is:

A

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