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True or False? Circle whether the following statements are true or false. Explanations are optional. (a)...

True or False? Circle whether the following statements are true or false. Explanations are optional. (a) If f(x) is continuous on [1, 2], then f(x) attains an absolute maximum on [1, 2]. TRUE FALSE (b) If f(x) has a local maximum or a local minimum at x = 1, and f ′ (1) exists, then f ′ (1) = 0. TRUE FALSE (c) If f ′ (1) = 0, then (1, f(1)) is a local maximum or a local minimum of f(x). TRUE FALSE (d) If f ′ (2) = 0 and f ′′(2) < 0, then (2, f(2)) is a local maximum of f(x). TRUE FALSE

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