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13 Nov 2019
Determine whether each of the following statements is true or false, and explain why. I. A critical number c is a number in the domain of a function f for which f , (c) = 0 or f , (c) does not exist. 2. If f' (c) 0 on an interval, the function is positive on that interval. 3. If c is a critical number, then the function must have a relative maximum or minimum at c 4. If f'(c) exists, then f"(c) also exists 5. If f" (c) >0 on an interval, the function is increasing on that interval.
Determine whether each of the following statements is true or false, and explain why. I. A critical number c is a number in the domain of a function f for which f , (c) = 0 or f , (c) does not exist. 2. If f' (c) 0 on an interval, the function is positive on that interval. 3. If c is a critical number, then the function must have a relative maximum or minimum at c 4. If f'(c) exists, then f"(c) also exists 5. If f" (c) >0 on an interval, the function is increasing on that interval.
Lelia LubowitzLv2
4 Nov 2019