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File:Stationary vs inflection pts.svg

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Original file(SVG file, nominally 479 × 297 pixels, file size: 32 KB)

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)

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19 October 2011

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Date/TimeThumbnailDimensionsUserComment
current15:48, 19 October 2011Thumbnail for version as of 15:48, 19 October 2011479 × 297 (32 KB)Bender2k14Added default image dimensions
15:37, 19 October 2011Thumbnail for version as of 15:37, 19 October 2011512 × 512 (32 KB)Bender2k14Smaller nominal dimensions
15:30, 19 October 2011Thumbnail for version as of 15:30, 19 October 2011512 × 512 (32 KB)Bender2k14{{Information |Description ={{en|1=Graph shows stationary points (red circles) and inflection points (blue squares). The stationary points in this graph are all relative maxima or relative minima.}} |Source =Mathematica sour
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