Suppose that f.(4, 5) = fy(4, 5) = 0 and frr(4, 5) fyy(4, 5) = [fry (4, 5)]². Then the second partial derivative test: %3D O guarantees that f has a relative maximum value at (4, 5). guarantees that f has a relative minimum value at (4, 5). O guarantees that (4, 5) is a saddle point of f. O gives no conclusion.
Suppose that f.(4, 5) = fy(4, 5) = 0 and frr(4, 5) fyy(4, 5) = [fry (4, 5)]². Then the second partial derivative test: %3D O guarantees that f has a relative maximum value at (4, 5). guarantees that f has a relative minimum value at (4, 5). O guarantees that (4, 5) is a saddle point of f. O gives no conclusion.
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 that f-(4, 5) = fy(4, 5) = 0 and fr(4, 5) fyy(4, 5) = [fzy(4, 5)]².
Then the second partial derivative test:
%3D
%3D
%3D
O guarantees that f has a relative maximum value at (4, 5).
O guarantees that f has a relative minimum value at (4, 5).
guarantees that (4, 5) is a saddle point of f.
O gives no conclusion.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa210a9f5-670c-4351-8f9d-75502f4f992f%2F0570a614-8885-470f-9755-6f2cfb65e62e%2Fyh0t9u7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose that f-(4, 5) = fy(4, 5) = 0 and fr(4, 5) fyy(4, 5) = [fzy(4, 5)]².
Then the second partial derivative test:
%3D
%3D
%3D
O guarantees that f has a relative maximum value at (4, 5).
O guarantees that f has a relative minimum value at (4, 5).
guarantees that (4, 5) is a saddle point of f.
O gives no conclusion.
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