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 3 – e 3y: there is only one critical point and it is a local maximum but not a global one.
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Wagon, S. (2010). Three-Dimensional Graphs. In: Wagon, S. (eds) Mathematica in Action. Springer, New York, NY. https://doi.org/10.1007/978-0-387-75477-2_5
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DOI: https://doi.org/10.1007/978-0-387-75477-2_5
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-75366-9
Online ISBN: 978-0-387-75477-2
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