Math Is Fun Forum

Daniel123

Member

Registered: 2007-05-23

Posts: 663

y = x^(1/x)

I just realised, the maximum value of 'the xth root of x' occurs when x is e. Cool.    Plot of x^(1/x)

Last edited by Daniel123 (2008-03-26 08:01:20)

Identity

Member

Registered: 2007-04-18

Posts: 934

Re: y = x^(1/x)

Nice! It also occurs with the graph of

Last edited by Identity (2008-03-26 09:24:04)

John E. Franklin

Member

Registered: 2005-08-29

Posts: 3,588

Re: y = x^(1/x)

2 ^ (1/2) = 1.41421356approx.

2.6413222 ^ (1/2.6413222) = 1.44444444approx.

e ^ (1/e) = 1.44466786approx.

2.7990535 ^ (1/2.7990535) is 1.44444444approx.

4 ^ (1/4) = 1.41421356approx.

Last edited by John E. Franklin (2008-03-27 14:17:44)

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