Find the extrema and/or the saddle points of the functions. a) f(x, y) = 9 - 2x + 4y − x² − 4y²

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 28E
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1. Find the extrema and/or the saddle points of the functions.
a) f(x, y) = 9 - 2x + 4y - x² - 4y²
b) f(x,y) = x³y + 12x² − 8y
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c) f(x, y) = x² + y4 - 4xy + 2
Transcribed Image Text:1. Find the extrema and/or the saddle points of the functions. a) f(x, y) = 9 - 2x + 4y - x² - 4y² b) f(x,y) = x³y + 12x² − 8y - c) f(x, y) = x² + y4 - 4xy + 2
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