The function f has continuous second derivatives, and a critical point at (-1, -2). Suppose f.-(-1, –2) = -3, fzv(-1,-2) = 0, f(-1, -2) = 2. Then the point (-1, -2): OA. is a local minimum OB. cannot be determined OC. is a local maximum OD. is a saddle point OE. 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 (-1, -2). Suppose frz(-1,-2) = -3, fzy(-1, –2) = 0, fyy(-1,-2) = 2.
Then the point (-1, -2):
OA. is a local minimum
OB. cannot be determined
OC. is a local maximum
OD. is a saddle point
OE. None of the above
Transcribed Image Text:The function f has continuous second derivatives, and a critical point at (-1, -2). Suppose frz(-1,-2) = -3, fzy(-1, –2) = 0, fyy(-1,-2) = 2. Then the point (-1, -2): OA. is a local minimum OB. cannot be determined OC. is a local maximum OD. is a saddle point OE. None of the above
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