Let (x, y) = x 4 2x 2 + y 2 6y. (a) Find the

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Let ƒ(x, y) = x4 − 2x2 + y2 − 6y.

(a) Find the critical points of ƒ and use the Second Derivative Test to determine whether they are a local minima or a local maxima.
(b) Find the minimum value of ƒ without calculus by completing the square.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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