ippose the function f (x, y) has the critical point (–1, 3). Suppose (-1,3) > 0 and fyy(-1,3) < 0. Which of the following are possible? Select all at apply. elect one or more: O a. (-1,3) could be a local minimum. O b. The second derivative test could be inconclusive. O c. (-1,3) could be a local maximum. d (. 1 3) could bo a saddlo point

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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Suppose the function f (x, y) has the critical point (-1,3). Suppose
fxx(-1, 3) > 0 and fyy(-1, 3) < 0. Which of the following are possible? Select all
that apply.
Select one or more:
a. (-1,3) could be a local minimum.
b. The second derivative test could be inconclusive.
c. (-1,3) could be a local maximum.
d. (-1, 3) could be a saddle point.
Transcribed Image Text:Suppose the function f (x, y) has the critical point (-1,3). Suppose fxx(-1, 3) > 0 and fyy(-1, 3) < 0. Which of the following are possible? Select all that apply. Select one or more: a. (-1,3) could be a local minimum. b. The second derivative test could be inconclusive. c. (-1,3) could be a local maximum. d. (-1, 3) could be a saddle point.
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