Concept explainers
Recall from Theorem 4.4.4 that if a continuous function of one variable has exactly one relative extremum on an interval, then that relative extremum is an absolute extremum on the interval. This exercise shows that this result does not extend to functions of two variables.
(a) Show that
(b) Show that f does not have an absolute maximum.
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Calculus: Early Transcendentals, Enhanced Etext
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