Show that f(x, y) = x 2 ye x2y2 has maximum values at (1, 1/2) and minimum
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Show that f(x, y) = x2ye−x2−y2 has maximum values at (±1, 1/√2) and minimum values at (±1, −1/√2). Show also that f has infinitely many other critical points and D = 0 at each of them. Which of them give rise to maximum values? Minimum values? Saddle points?
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Related Book For
Calculus Early Transcendentals
ISBN: 9781337613927
9th Edition
Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin
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