Which of the following statements must be true? Select one: O a. If f'(4) = 0, the then f(x) has a local minimum at x = 4 O b. If f(x) has a local maximum at x = 5, then x = 5is a critical number of f(x) If f(x) has a local minimum at x = 2, then f'(2) = 0 O c. O d. If f(x) is continuous on the closed interval [1,4], then f(x) has a local minimum or a local maximum on [1,4]

Which of the following statements must be true? Select one: O a. If f'(4) = 0, the then f(x) has a local minimum at x = 4 O b. If f(x) has a local maximum at x = 5, then x = 5is a critical number of f(x) If f(x) has a local minimum at x = 2, then f'(2) = 0 O c. O d. If f(x) is continuous on the closed interval [1,4], then f(x) has a local minimum or a local maximum on [1,4]

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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