Find all the local maxima, local minima, and saddle points of the function. f(x, y) = x² + xy +y² + 6x -6y +9

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
Problem 14BEXP
icon
Related questions
Question
Find all the local maxima, local minima, and saddle points of the function.
f(x,y) = x² + xy +y² + 6x - 6y +9
Transcribed Image Text:Find all the local maxima, local minima, and saddle points of the function. f(x,y) = x² + xy +y² + 6x - 6y +9
Find all the local maxima, local minima, and saddle points of the function.
f(x,y) = x² - 4xy + y² + 12y +9
Transcribed Image Text:Find all the local maxima, local minima, and saddle points of the function. f(x,y) = x² - 4xy + y² + 12y +9
Expert Solution
steps

Step by step

Solved in 4 steps with 7 images

Blurred answer