Determine whether the following statement is true or false, and explain why. For a function z = ƒ(x, y), suppose that the point (a, b) has been identified such that ƒx(a, b) = ƒy(a, b) = 0. We can conclude that a relative maximum or a relative minimum must exist at (a, b).

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Determine whether the following statement is true or false, and explain why.

For a function z = ƒ(x, y), suppose that the point (a, b) has been identified such that ƒx(a, b) = ƒy(a, b) = 0. We can conclude that a relative maximum or a relative minimum must exist at (a, b).

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