Let f(a, b) be a local extremum (a local maximum or a local minimum) for the function

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Let f(a, b) be a local extremum (a local maximum or a local minimum) for the function f. If both fx and fy exist at (a, b), then

fx(a, b) = 0 and fy(a, b) = 0

In Problem find fx(x, y) and fy(x, y), and explain, using Theorem 1, why f(x, y) has no local extrema.

f(x, y) = 3.7 - 1.2x + 6.8y + 0.2y3 + x4

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College Mathematics For Business Economics, Life Sciences, And Social Sciences

ISBN: 978-0134674148

14th Edition

Authors: Raymond Barnett, Michael Ziegler, Karl Byleen, Christopher Stocker

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