Find all local maxima, local minima, and saddle points of each function. Enter each point as an ordered triple, e.g., "(1,5,10)". If there is more than one point of a given type, enter a comma- separated list of ordered triples. If there are no points of a given type, enter "none".

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find all local maxima, local minima, and saddle points of each function. Enter each point as an ordered triple, e.g., "(1,5,10)". If there is more than one point of a given type, enter a comma-
separated list of ordered triples. If there are no points of a given type, enter "none".
f(x, y) = 4x3 + 8y³ – 60x? + 12y? – 144y
Local maxima are none
Local minima are
none
Saddle points are
none
Transcribed Image Text:Find all local maxima, local minima, and saddle points of each function. Enter each point as an ordered triple, e.g., "(1,5,10)". If there is more than one point of a given type, enter a comma- separated list of ordered triples. If there are no points of a given type, enter "none". f(x, y) = 4x3 + 8y³ – 60x? + 12y? – 144y Local maxima are none Local minima are none Saddle points are none
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