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"If "y=sqrt(logx+sqrt(logx+sqrt(logx+......

`"If "y=sqrt(logx+sqrt(logx+sqrt(logx+...oo)))", show that "(2y-1).(dy)/(dx)=(1)/(x).`

A

`(1)/(y-1)`

B

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

C

`(1)/(2logy)`

D

`(1)/(y)`

Text Solution

Verified by Experts

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