The function f has continuous second derivatives, and a critical point at (-5, 1). Suppose fzz(-5, 1) = 4, fay(-5, 1) = 6, f(-5, 1) = 9. Then the point (-5, 1):OA. is a saddle pointOB. Is a local maximumOC. is a local minimumOD. cannot be determinedOE. None of the above

Conditions are given as follows

Answered: The function f has continuous second…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter9: Multivariable Calculus

Section9.3: Maxima And Minima

Problem 2E

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The function f has continuous second derivatives, and a critical point at (-5, 1). Suppose fez(-5, 1) = 4, fay(-5, 1) = 6, f(-5, 1) = 9. Then the point (-5, 1): OA. is a saddle point OB. is a local maximum OC. is a local minimum OD. cannot be determined OE. None of the above