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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 prove that "(dy)/(dx)=(y^(2)-x)/(2y^(3)-2xy-1)`

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

Text Solution

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The correct Answer is:
D
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