Answer: If a function of one variable is continuous on an interval and has only one
Chapter 14, Problem 38(choose chapter or problem)
If a function of one variable is continuous on an interval and has only one critical number, then a local maximum has to bean absolute maximum. But this is not true for functions of twovariables. Show that the functionhas exactly one critical point, and that has a local maxi mumthere that is not an absolute maximum. Then use a computer toproduce a graph with a carefully chosen domain and viewpointto see how this is possible.
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