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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
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