3. Consider f : R2 → R defined by f(x,y) = y³ + 3x²y – 6x² – 6y? + 2. - (a) Determine the critical points of f. (b) Classify the critical points using the second derivative test.

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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 Consider f : R
2 → R defined by f(x, y) = y
3 + 3x
2
y − 6x
2 − 6y
2 + 2.
(a)  Determine the critical points of f.
(b)  Classify the critical points using the second derivative test.

3
Consider f : R? –→ R defined by f(x, y) = y³ + 3x?y – 6x2 – 6y? + 2.
(a)
Determine the critical points of f.
(b)
Classify the critical points using the second derivative test.
Transcribed Image Text:3 Consider f : R? –→ R defined by f(x, y) = y³ + 3x?y – 6x2 – 6y? + 2. (a) Determine the critical points of f. (b) Classify the critical points using the second derivative test.
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