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posted by Abhishek Monday, June 4, 2012 at 7:25am.
If y=Root of(logx+root of (logx+root of logx.........infinty)...prove that dy/dx=1/x(2y-1)
y = √(lnx+√(lnx+√(lnx+...))) y^2 = lnx+√(lnx+√(lnx+...))) = lnx + y 2y y' = 1/x + y' (2y-1)y' = 1/x y' = 1/(x(2y-1))
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