Maximum and Minimum Values Find all the critical points of f(x,y) = x³ – 12xy+ 8y³. Then, by looking at the graph of this function, classify the critical points as local minima, local maxima, or neither. (Suggestion: Graph the function technologically.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 70E
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Maximum and Minimum Values
Find all the critical points of f(x,y) = x³ – 12xy+ 8y³. Then, by looking at the graph of this
function, classify the critical points as local minima, local maxima, or neither.
(Suggestion: Graph the function technologically.)
Transcribed Image Text:Maximum and Minimum Values Find all the critical points of f(x,y) = x³ – 12xy+ 8y³. Then, by looking at the graph of this function, classify the critical points as local minima, local maxima, or neither. (Suggestion: Graph the function technologically.)
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