File:Directional derivative contour plot.svg

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Original file(SVG file, nominally 530 × 525 pixels, file size: 162 KB)


English: This plot shows the gradient, , and scaled by the directional derivative in the direction of of at (−5, 5).

Created with the following Sage code, and later edited in Inkscape:

(contour_plot(x^2 + y^2, (x, -20, 0), (y, 0, 20), contours=range(50, 850, 50), cmap='summer') + point((-5, 5), color='red', size=15, zorder=4) +
arrow([-5, 5], [-15, 15], zorder=2) + arrow([-5, 5], [-5, 15], zorder=2, color='darkorange') + arrow([-5, 5], [-5, 6], zorder=3, color='darkgreen') +
text(r'$\nabla_\mathbf{u} f(-5, 5)$', (-12.5, 9.5), fontsize=14) + text(r'$\mathbf{u}$', (-4.3, 5.5), color='darkgreen', fontsize=14) +
text(r'$\mathbf{u}\nabla_\mathbf{u} f(-5, 5)$', (-2.3, 11.5), color='darkorange', fontsize=14))
Source Own work
Author Eviatar Bach
Icon Mathematical Plot.svg
This diagram was created with Sage.


I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero 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 his or her 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.

File history

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Date/Time Thumbnail Dimensions User Comment
current 02:11, 30 June 2014 Thumbnail for version as of 02:11, 30 June 2014 530 × 525 (162 KB) InverseHypercube fixing error
22:17, 24 October 2013 Thumbnail for version as of 22:17, 24 October 2013 530 × 525 (162 KB) InverseHypercube User created page with UploadWizard
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