File:Xth square root of x.svg

DescriptionXth square root of x.svg	English: Graph of ${\displaystyle {\sqrt[{x}]{x}}}$, noting the global maximum at e. Čeština: Graf ${\displaystyle {\sqrt[{x}]{x}}}$ s vyznačeným globálním maximem v e Français : Graphe de ${\displaystyle {\sqrt[{x}]{x}}}$, indiquant le maximum global en e.
Date	21 April 2012
Source	Own work
Author	Thibaut Lienart

! corresponding GLE CODE

size 13 10 begin graph let d1=x^(1/x) from 0 to 5 d1 line color blue yplaces 0 1 ynames 0 1 xplaces 0 5 xnames 0 5 xaxis min 0 max 5 yaxis min 0 max 1.5 xaxis dsubticks 1 yaxis dsubticks 0.5 x2axis off y2axis off end graph

set color red set lstyle 9 amove xg(exp(1)) yg(0) aline xg(exp(1)) yg(exp(1)^(1/exp(1)))

set lstyle 1 set fill red amove xg(exp(1)) yg(exp(1)^(1/exp(1))) circle .05

amove xg(exp(1))-0.1 yg(0)-0.37 text e

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