1. Determine if the following statements are True or False for all differentiable functions f with domain R. (a) (1 point) If f has a local maximum at 2 , then f' (2) = 0. (b) (1 point) If f(2) = 2 and f(4) = 2, then there is a c E (2, 4) such that f has a local extrema at c. (c) (1 point) If f(1) = 4 and f'(x) 2 4 for all x E R, then f(3) 2 10