The function f has continuous second derivatives, and a critical point at (6, -9). Suppose fzz (6,-9) = -16, fzy(6, -9) = -8, f (6,-9) = -4. Then the point (6, -9): OA. cannot be determined OB. is a saddle point OC. is a local maximum OD. is a local minimum OE. None of the above
The function f has continuous second derivatives, and a critical point at (6, -9). Suppose fzz (6,-9) = -16, fzy(6, -9) = -8, f (6,-9) = -4. Then the point (6, -9): OA. cannot be determined OB. is a saddle point OC. is a local maximum OD. is a local minimum OE. None of the above
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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Transcribed Image Text:The function f has continuous second derivatives, and a critical point at (6, -9). Suppose fzz (6,-9) = -16, fzy(6, -9) = -8, fy(6,-9) = -4. Then the point (6, -9):
OA. cannot be determined
OB. is a saddle point
OC. is a local maximum
OD. is a local minimum
OE. None of the above
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