The function f has continuous second derivatives, and a critical point at (-4, -4). Suppose frz (-4, –4) = 3, fæy(-4, –4) = 9, fyy(-4, -4) = 27. Then the point (-4, -4): O A. is a saddle point O B. cannot be determined OC. is a local minimum O D. is a local maximum O E. None of the above

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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The function f has continuous second derivatives, and a critical point at (-4, -4). Suppose fræ (-4, –4) = 3, fry(-4, –4) = 9, fyy(-4, –4) = 27. Then the point (-4,
-4):
O A. is a saddle point
O B. cannot be determined
C. is a local minimum
O D. is a local maximum
O E. None of the above
Transcribed Image Text:The function f has continuous second derivatives, and a critical point at (-4, -4). Suppose fræ (-4, –4) = 3, fry(-4, –4) = 9, fyy(-4, –4) = 27. Then the point (-4, -4): O A. is a saddle point O B. cannot be determined C. is a local minimum O D. is a local maximum O E. None of the above
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