Three-Dimensional Graphs

  • Stan Wagon


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.


Saddle Point Local Maximum Contour Plot Global Maximum Walk Away 
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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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