Suppose (1,1) is a critical point of a function f with continuous second derivatives and fz = 44, fzy = 22 and fy = 22 Which of the following statements is TRUE about the function f?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Choices are on the second pic

There is a local minimum at (1, 1).
There is a local maximum at (1, 1).
There is a saddle point at (1, 1).
The function is not defined at (1,1).
Transcribed Image Text:There is a local minimum at (1, 1). There is a local maximum at (1, 1). There is a saddle point at (1, 1). The function is not defined at (1,1).
Suppose (1,1) is a critical point of a function f with continuous second
derivatives and
faz = 44, fry = 22 and fyy = 22
Which of the following statements is TRUE about the function f?
Transcribed Image Text:Suppose (1,1) is a critical point of a function f with continuous second derivatives and faz = 44, fry = 22 and fyy = 22 Which of the following statements is TRUE about the function f?
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