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

If `y=sqrt(x+sqrt(x+sqrt(x+..........oo)))`, then `(dy)/(dx)` =

A

`1/(y^2-1)`

B

`1/(2y+1)`

C

`(2y)/(y^2-1)`

D

`1/(2y-1)`

Text Solution

Verified by Experts

The correct Answer is:
D
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