Find all critical points of f(x,y) = x²-y-4y+xy and classify each as yielding local max., local min., or saddle points. Show how you arrive at your conclusions. You do not need to find the

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Find all critical points of f(x,y) = x³-y²-4y+x²yand classify each as yielding local max., local
min., or saddle points. Show how you arrive at your conclusions. You do not need to find the
functional values at the critical points. Attach a computer graph that validates your answer.
Transcribed Image Text:Find all critical points of f(x,y) = x³-y²-4y+x²yand classify each as yielding local max., local min., or saddle points. Show how you arrive at your conclusions. You do not need to find the functional values at the critical points. Attach a computer graph that validates your answer.
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