The function f has continuous second derivatives, and a critical point at (-8, -7). Suppose frz(-8, -7) = -16, fr(-8,-7)=-8, f(-8,-7) =-4 Then the point (-8, -7): O A. is a local maximum O B. cannot be determined C. is a saddle point O D. is a local minimum O E. None of the above

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 29E
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The function f has continuous second derivatives, and a critical point at (-8, -7). Suppose frz(-8, -7) = -16, f(-8,-7) = -8, f(-8,-7) = -4 Then the point (-8, -7):
O A. is a local maximum
O B. cannot be determined
C. is a saddle point
O D. is a local minimum
O E. None of the above
Transcribed Image Text:The function f has continuous second derivatives, and a critical point at (-8, -7). Suppose frz(-8, -7) = -16, f(-8,-7) = -8, f(-8,-7) = -4 Then the point (-8, -7): O A. is a local maximum O B. cannot be determined C. is a saddle point O D. is a local minimum O E. None of the above
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