X_to_x_power_showing_minimum.svg
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Summary
Description X to x power showing minimum.svg |
English:
A plot of f(x) =
x
x
showing the minimum at (1/e, e
-1/e
). Source used to generate this chart is shown below.
|
Date | |
Source |
Own work
This
W3C-unspecified
diagram was created with
Mathematica
.
|
Author | User:Dcoetzee |
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication . | |
The person who associated a work with this deed has dedicated the work to the
public domain
by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
http://creativecommons.org/publicdomain/zero/1.0/deed.en CC0 Creative Commons Zero, Public Domain Dedication false false |
Source
All source released under CC0 waiver.
Mathematica source to generate graph (which was then saved as SVG from Mathematica):
Show[][{{1/E, E^(-1/E)}}][Large]}, PlotRange -> {{0, 1.45}, {0, 1.45^1.45}}], Plot[x^x, {x, 0, 1.45}, PlotRange -> {0, 1.45^1.45}], Graphics[][{{1/E, E^(-1/E)}, {1/E, 0}}]}], LabelStyle -> {FontSize -> 14}, AspectRatio -> 0.7]
LaTeX source for labels:
$$ x^x $$ $$ \left(\frac{1}{\mathrm{e}}, {\mathrm{e}}^{-1/\mathrm{e}}\right) $$
These were converted to SVG with [1] and then the graph was embedded into the resulting document in Inkscape. Axis fonts were also converted to Liberation Serif in Inkscape.