_14. Suppose that a function f: R² → R and its partial derivatives up to the third orders are continuous near the critical point (a, b) such that fxx(a,b) =– 2, fyy(a,b) =– 4 and fxy(a, b) = 3. Then the point (a, b) corresponds to the function's (a) saddle. (b) local maxiтит. (с) lоcal miniтит. (d) true maxiтит.
_14. Suppose that a function f: R² → R and its partial derivatives up to the third orders are continuous near the critical point (a, b) such that fxx(a,b) =– 2, fyy(a,b) =– 4 and fxy(a, b) = 3. Then the point (a, b) corresponds to the function's (a) saddle. (b) local maxiтит. (с) lоcal miniтит. (d) true maxiтит.
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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14
Transcribed Image Text:_14. Suppose that a function f:R² → R and its partial derivatives up to the third orders are
continuous near the critical point (a, b) such that fxx(a,b) =– 2, f yy(a, b) =-
fxy(a, b) = 3. Then the point (a, b) corresponds to the function's
4 and
(a) saddle.
(b) local maxітит.
(с) local miniтит.
(d) true maxітит.
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