If the point (-1, 1) is a critical point of a function f(x, y) with continuous second derivatives Sza (, y) = 3r, fry (x, y) = -4 and f(x, y) = -8y, then the point (-1, 1) is %3D %3D (a) a local maximum (b) a local minimum (c) a saddle point (d) None

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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Choose the correct answer in the following :
If the point (-1, 1) is a critical point of a function f(x, y) with continuous second derivatives
8.
fzz (x, y) = 3x, Szy(x, y) = -4 and fyy(r, y) = -8y, then the point (-1, 1) is
(a) a local maximum (b) a local minimum
(c) a saddle point
(d) None
Transcribed Image Text:If the point (-1, 1) is a critical point of a function f(x, y) with continuous second derivatives 8. fzz (x, y) = 3x, Szy(x, y) = -4 and fyy(r, y) = -8y, then the point (-1, 1) is (a) a local maximum (b) a local minimum (c) a saddle point (d) None
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