Question: Show that f (x, y) = x 2 + 4y 2 - 4xy + 2 has an infinite number of critical points and that D

Show that f (x, y) = x² + 4y² - 4xy + 2 has an infinite number of critical points and that D = 0 at each one. Then show that f has a local (and absolute) minimum at each critical point.

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x y x 4y 4xy 2 f 2x 4y fy 8y 4x xx 2 xy 4 fyy8 Then f 0 and fy 0 each ... View full answer

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