Suppose (1, -1) is a critical point of a function f with the continuous second derivatives. If fxx (1,-1) = -6, fxy(1,-1) = 1, fyy(1, -1) = 2 then f has a local minimum at (1, -1). Select one: True O False

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 59CR
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Suppose (1, -1) is a critical point of a function f
with the continuous second derivatives. If
fxx (1,-1) = -6, fxy(1, -1) = 1, fyy(1,-1) = 2
then f has a local minimum at (1,−1).
уу
Select one:
True
O False
Transcribed Image Text:Suppose (1, -1) is a critical point of a function f with the continuous second derivatives. If fxx (1,-1) = -6, fxy(1, -1) = 1, fyy(1,-1) = 2 then f has a local minimum at (1,−1). уу Select one: True O False
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