Find the local maximum and minimum values and saddle points of the function. f(x, y) = x3-3x+3xy2

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
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 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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Find the local maximum and minimum values and saddle points of the function.

f(x, y) = x3-3x+3xy2

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