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Locate all relative maxima, relative minima and saddle points of f(x, y) = xy − x^3 − y^3. Justify your answers.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 3SE: How are the absolute maximum and minimum similar to and different from the local extrema?

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Question

Locate all relative maxima, relative minima and saddle points of f(x, y) = xy − x^3 − y^3. Justify your answers.

Definition Definition Highest point, either on the entire domain or on the given range of a function. The plural form of 'maximum' is 'maxima'.

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