Test the functions in Exercises 65–66 for local maxima and minima and saddle points. Find each function’s value at these points. 65. ƒ(x, y) = x2 - xy + y2 + 2x + 2y - 4 66. ƒ(x, y) = 5x2 + 4xy - 2y2 + 4x - 4y

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 58E
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Test the functions in Exercises 65–66 for local maxima and minima and saddle points. Find each function’s value at these points.

65. ƒ(x, y) = x2 - xy + y2 + 2x + 2y - 4

66. ƒ(x, y) = 5x2 + 4xy - 2y2 + 4x - 4y

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