Find the critical points for the function 3 - f(x, y) = x³ + y³ − 6x² - 27y – 10 - and classify each as a local maximum, local minimum, saddle point, or none of these. critical points: (give your points as a comma separated list of (x,y) coordinates.) classifications: G (give your answers in a comma separated list, specifying maximum, minimum, saddle point, or none for each, in the same order as you entered your critical points)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 14E
Question
Find the critical points for the function
f(x, y) = x² + y³ - 6x² - 27y - 10
and classify each as a local maximum, local minimum, saddle
point, or none of these.
critical points:
(give your points as a comma separated list of (x,y) coordinates.)
classifications:
(give your answers in a comma separated list, specifying maximum,
minimum, saddle point, or none for each, in the same order as you
entered your critical points)
Transcribed Image Text:Find the critical points for the function f(x, y) = x² + y³ - 6x² - 27y - 10 and classify each as a local maximum, local minimum, saddle point, or none of these. critical points: (give your points as a comma separated list of (x,y) coordinates.) classifications: (give your answers in a comma separated list, specifying maximum, minimum, saddle point, or none for each, in the same order as you entered your critical points)
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