Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function. (Enter your answers as a comma- separated list. If an answer does not exist, enter DNE.) f(x, y) = x³ + y³ - 3x²-3y²-9x local maximum value(s) local minimum value(s) saddle point(s) (x, y) =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
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Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function. (Enter your answers as a comma-
separated list. If an answer does not exist, enter DNE.)
f(x, y) = x³ + y3 - 3x² - 3y² - 9x
local maximum value(s)
local minimum value(s)
saddle point(s)
(x, y) =
Transcribed Image Text:Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function. (Enter your answers as a comma- separated list. If an answer does not exist, enter DNE.) f(x, y) = x³ + y3 - 3x² - 3y² - 9x local maximum value(s) local minimum value(s) saddle point(s) (x, y) =
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