# File:Stationary vs inflection pts.svg

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

## Summary

 Description English: Graph of ${\displaystyle f(x)=x+\sin(2x)}$ 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 19 October 2011 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)

## Licensing

I, the copyright holder of this work, hereby publish it under the following licenses:
 Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.

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## File history

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Date/TimeThumbnailDimensionsUserComment
current15:48, 19 October 2011479 × 297 (32 KB)Bender2k14Added default image dimensions
15:37, 19 October 2011512 × 512 (32 KB)Bender2k14Smaller nominal dimensions
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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