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

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

A

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

B

2)`1/(2y+1)`

C

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

D

4)`1/(2y-1)`

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The correct Answer is:
D
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