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Let f be a continuous function. Which of the following statements is correct? O If f(c) is an absolute maximum value of f, then f'(c) = 0. O If f(c) is a local minimum value of ƒ , then f'(c) does not exist. O If f(c) is a local maximum value of f, then f'(c) = 0. O If f(c) is a absolute minimum value of f, then f'(c) does not exist. None of the above

Let f be a continuous function. Which of the following statements is correct? O If f(c) is an absolute maximum value of f, then f'(c) = 0. O If f(c) is a local minimum value of ƒ , then f'(c) does not exist. O If f(c) is a local maximum value of f, then f'(c) = 0. O If f(c) is a absolute minimum value of f, then f'(c) does not exist. None of the above

College Algebra (MindTap Course List)
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 96E: Determine if the statement is true or false. If the statement is false, then correct it and make it...
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Let f be a continuous function. Which of the following statements is correct? If f(c) is an absolute maximum value of f, then f'(c) = 0. If f(c) is a local minimum value of f, then f'(c) does not exist. If f(c) is a local maximum value of f, then f'(c) = 0. %3D If f(c) is a absolute minimum value of f, then f'(c) does not exist. None of the above
Transcribed Image Text:Let f be a continuous function. Which of the following statements is correct? If f(c) is an absolute maximum value of f, then f'(c) = 0. If f(c) is a local minimum value of f, then f'(c) does not exist. If f(c) is a local maximum value of f, then f'(c) = 0. %3D If f(c) is a absolute minimum value of f, then f'(c) does not exist. None of the above
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