Find the critical points of the function and, from the form of the function, determine whether a relative maximum or a relative minimum occurs at each point. f(x, y, z) = x² + (y - 3)² + (z+8)² (x, y, z) = O This point is a relative maximum O This point is a relative minimum

College Algebra (MindTap Course List)
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Author:R. David Gustafson, Jeff Hughes
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Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
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Find the critical points of the function and, from the form of the function, determine whether a relative maximum or a relative minimum occurs at each point.
f(x, y, z) = x² + (y - 3)² + (z+8)²
(x, y, z) =
O This point is a relative maximum
O This point is a relative minimum
Transcribed Image Text:Find the critical points of the function and, from the form of the function, determine whether a relative maximum or a relative minimum occurs at each point. f(x, y, z) = x² + (y - 3)² + (z+8)² (x, y, z) = O This point is a relative maximum O This point is a relative minimum
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