This 2-variable function has exactly TW0 critical points: 8 f (x, y) = xy 3 One of them is (0, 0) and we don't care about that one. (a) Find the other critical point. SHOW ALL ALGEBRA! (b) LOCAL MAX, LOCAL MIN, or SADDLE POINT. SHOW ALL ALGEBRA! Use the Second Partials Test and classify the critical point from part (a).
This 2-variable function has exactly TW0 critical points: 8 f (x, y) = xy 3 One of them is (0, 0) and we don't care about that one. (a) Find the other critical point. SHOW ALL ALGEBRA! (b) LOCAL MAX, LOCAL MIN, or SADDLE POINT. SHOW ALL ALGEBRA! Use the Second Partials Test and classify the critical point from part (a).
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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
Transcribed Image Text:This 2-variable function has exactly TWO critical points:
8
.3
f (x, y) = xy -
3
3
One of them is (0, 0) and we don't care about that one.
(a)
Find the other critical point. SHOW ALL ALGEBRA!
(b)
LOCAL MAX, LOCAL MIN, or SADDLE POINT. SHOW ALL ALGEBRA!
Use the Second Partials Test and classify the critical point from part (a).
If you couldn't find the critical point, then too bad for you.
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