Q2. For the given function f, find the critical points and locate all relative (local) maximum, relative (local) minimum, and saddle points. a) f(x, y) = x² + y² - 2x + 6y + 10 b) f(x, y) = x² + xy + y² + x-7y c) f(x,y) = 2x³ - 6xy + 3y² + 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Q2. For the given function f, find the critical points and locate all relative (local) maximum, relative
(local) minimum, and saddle points.
a) f(x,y) = x² + y² - 2x + 6y + 10
b) f(x, y) = x² + xy + y² + x-7y
c) f(x,y) = 2x³ - 6xy + 3y² + 1
Transcribed Image Text:Q2. For the given function f, find the critical points and locate all relative (local) maximum, relative (local) minimum, and saddle points. a) f(x,y) = x² + y² - 2x + 6y + 10 b) f(x, y) = x² + xy + y² + x-7y c) f(x,y) = 2x³ - 6xy + 3y² + 1
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