Question

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

Answer 1