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Three-Dimensional Graphs

  • Stan Wagon

Abstract

For functions of one variable, a unique critical point that is a local maximum is necessarily a global maximum. But this is false in higher dimensions. An example is the graph shown, of the function 3 x e y x 3e 3y : there is only one critical point and it is a local maximum but not a global one.

Keywords

Saddle Point Local Maximum Contour Plot Global Maximum Walk Away 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  • Stan Wagon
    • 1
  1. 1.Department of Mathematics and Computer ScienceMacalester CollegeSt. PaulUSA

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