f(x, y) = x2 + Sxy + y2 O f(8,0) = 64, local minimum; f(0, 8) = 64, local minimum f(0,0) = 0, saddle point; f(8, 8) = 640, local maximim f(0, 0) = 0, saddle point f(8, 8) = 640, local maximim

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 63E
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Question 2
Find all the local maxima, local minima, and saddle points of the function.
f(x, y) = x² + 8xy + y²
f(8, 0) = 64, local minimum; f(0, 8) = 64, local minimum
%3D
f(0, 0) = 0, saddle point; f(8, 8) = 640, local maximim
%3D
f(0,0) = 0, saddle point
f(8, 8) = 640, local maximim
Transcribed Image Text:Question 2 Find all the local maxima, local minima, and saddle points of the function. f(x, y) = x² + 8xy + y² f(8, 0) = 64, local minimum; f(0, 8) = 64, local minimum %3D f(0, 0) = 0, saddle point; f(8, 8) = 640, local maximim %3D f(0,0) = 0, saddle point f(8, 8) = 640, local maximim
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