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The function f has continuous second derivatives, and a critical pa OA. is a saddle point B. is a local maximum C. cannot be determined D. is a local minimum E. None of the above

The function f has continuous second derivatives, and a critical pa OA. is a saddle point B. is a local maximum C. cannot be determined D. is a local minimum E. None of the above

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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Problem 8. The function of has continuous second derivatives, and a critical point at (-4, 5). Suppose fax(-4,5) = 16, fxy(-4,5) = 8, fyy(-4,5) = 4. Then the point (-4, 5): OA. is a saddle point OB. is a local maximum OC. cannot be determined OD. is a local minimum OE. None of the above
Transcribed Image Text:Problem 8. The function of has continuous second derivatives, and a critical point at (-4, 5). Suppose fax(-4,5) = 16, fxy(-4,5) = 8, fyy(-4,5) = 4. Then the point (-4, 5): OA. is a saddle point OB. is a local maximum OC. cannot be determined OD. is a local minimum OE. None of the above
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