Find all critical points of f(x,y)=x³+y³-3x²-3y²-9x and classify each as yielding local max., local min., or saddle points. You do not need to find the functional values at the critical points. Show how you arrive at your conclusions.
Find all critical points of f(x,y)=x³+y³-3x²-3y²-9x and classify each as yielding local max., local min., or saddle points. You do not need to find the functional values at the critical points. Show how you arrive at your conclusions.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Find all critical points of f(x,y)=x³+y³-3x²-3y²-9x and classify each as yielding
local max., local min., or saddle points. You do not need to find the functional values
at the critical points. Show how you arrive at your conclusions.
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