File:Stationary vs inflection pts.svg

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Summary

Description
English: Graph of and shows stationary points (red circles) and inflection points (blue squares). The stationary points in this graph are all relative maxima or relative minima.
Date
Source

Mathematica source code: 

f := #1 + Sin[2 #1] &;
inflectionPoints = Table[{x, f[x]}, {x, -Pi, Pi, Pi/2}];
stationaryPoints = Union[Table[{x, f[x]}, {x, -2 Pi/3, Pi/3, Pi}], Table[{x, f[x]}, {x, -Pi/3, 2 Pi/3, Pi}]];
Show[Plot[f[x], {x, -Pi - 1, Pi + 1}], ListPlot[{stationaryPoints, inflectionPoints}, PlotMarkers -> {{Graphics@{Red, Disk[]}, 0.05}, {Graphics@{Blue, Rectangle[]}, 0.05}}], ImageSize -> 500]

After saving the image as an SVG from Mathematica, edit the raw SVG text by adding "width='479' height='297'" to the end of the SVG tag.
Author Self (with some Mathematica help)
SVG genesis
InfoField
 The SVG code is valid.
 This trigonometry was created with Mathematica
 This trigonometry uses embedded text/digits.

Licensing

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Captions

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Graph of f(x) = x + sin(2x), which shows stationary points as red circles, and inflection points as blue squares. The stationary points are all relative minima or maxima.

Items portrayed in this file

depicts

inception

19 October 2011

File history

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Date/TimeThumbnailDimensionsUserComment
current21:18, 19 October 2011Thumbnail for version as of 21:18, 19 October 2011479 × 297 (32 KB)wikimediacommons>Bender2k14Added default image dimensions

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