Show that (x, y) = x 2 has infinitely many critical points (as a function of two

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Show that ƒ(x, y) = x² has infinitely many critical points (as a function of two variables) and that the Second Derivative Test fails for all of them. What is the minimum value of ƒ? Does ƒ(x, y) have any local maxima?

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Jan 16, 2024 09:02 AM

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Show that (x, y) = x 2 has infinitely many critical points (as a function of two

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First if we solve for critical points we get fxxy 2x fyxy ...View the full answer

Calculus

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