The function f has continuous second derivatives, and a critical point at (-5, -7). Suppose fxx(−5, −7) = 20, ƒzy(−5, −7) = 10, fyy(−5, −7) = 5. Then the point (-5, -7): O A. is a local maximum O B. is a local minimum O C. cannot be determined ● D. is a saddle point O E. None of the above

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter1: Functions
Section1.2: Functions Given By Tables
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The function f has continuous second derivatives, and a critical point at (-5, -7). Suppose
fxx(−5, −7) = 20, ƒzy(−5, −7) = 10, fyy(−5, −7) = 5. Then the point (-5, -7):
O A. is a local maximum
O B. is a local minimum
O C. cannot be determined
● D. is a saddle point
O E. None of the above
Transcribed Image Text:The function f has continuous second derivatives, and a critical point at (-5, -7). Suppose fxx(−5, −7) = 20, ƒzy(−5, −7) = 10, fyy(−5, −7) = 5. Then the point (-5, -7): O A. is a local maximum O B. is a local minimum O C. cannot be determined ● D. is a saddle point O E. None of the above
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