Given f(x, y) = x³y − 3xy + y² − 1. (a) Find the critical points of f. (b) Use the Second Derivatives Test to classify the critical points obtained in (a).
Given f(x, y) = x³y − 3xy + y² − 1. (a) Find the critical points of f. (b) Use the Second Derivatives Test to classify the critical points obtained in (a).
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:1. Given f(x, y) = x³y − 3xy + y² – 1.
(a) Find the critical points of f.
(b) Use the Second Derivatives Test to classify the critical points obtained in (a).
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