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1. Suppose for a critical point (a,b) of f(x, y), we have fax (a, b) > fx (a, b), What can we say about the point (a, b)? A. (a, b) is a minimum of the function f. B. (a, b) is a maximum of the function f. C. (a, b) is a saddle point of the function f. D. The second derivative test is inconclusive for the point (a, b) of the function f. E. There is not enough information to apply the second derivative test for the point (a, b) of the function f. fyy (a, b) < fy(a, b), fay (a, b) 0

1. Suppose for a critical point (a,b) of f(x, y), we have fax (a, b) > fx (a, b), What can we say about the point (a, b)? A. (a, b) is a minimum of the function f. B. (a, b) is a maximum of the function f. C. (a, b) is a saddle point of the function f. D. The second derivative test is inconclusive for the point (a, b) of the function f. E. There is not enough information to apply the second derivative test for the point (a, b) of the function f. fyy (a, b) < fy(a, b), fay (a, b) 0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Suppose for a critical point (a,b) of f(x, y), we have fax (a, b) > fx (a, b), What can we say about the point (a, b)? A. (a, b) is a minimum of the function f. B. (a, b) is a maximum of the function f. C. (a, b) is a saddle point of the function f. D. The second derivative test is inconclusive for the point (a, b) of the function f. E. There is not enough information to apply the second derivative test for the point (a, b) of the function f. fyy (a, b) < fy(a, b), fxy (a, b) 0
Transcribed Image Text:1. Suppose for a critical point (a,b) of f(x, y), we have fax (a, b) > fx (a, b), What can we say about the point (a, b)? A. (a, b) is a minimum of the function f. B. (a, b) is a maximum of the function f. C. (a, b) is a saddle point of the function f. D. The second derivative test is inconclusive for the point (a, b) of the function f. E. There is not enough information to apply the second derivative test for the point (a, b) of the function f. fyy (a, b) < fy(a, b), fxy (a, b) 0
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