b) The critical points for the function f(x, y) = x³ + xy² + 6x² + y² are (-1,3), (–1, –3), (-4, 0) and (0,0). Use the Second Derivative Test to classify each one as local max, local min, or saddle point.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 2E
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b) The critical points for the function f(x, y) = x³ + xy² + 6x² + y² are (-1,3), (–1, –3), (-4,0) and
(0,0). Use the Second Derivative Test to classify each one as local max, local min, or saddle point.
Transcribed Image Text:b) The critical points for the function f(x, y) = x³ + xy² + 6x² + y² are (-1,3), (–1, –3), (-4,0) and (0,0). Use the Second Derivative Test to classify each one as local max, local min, or saddle point.
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