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) = -x2 + 2xy - y2 - 4x + 5y
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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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