1. The problem statement, all variables and given/known data Multiple Choice If f is a continuous, decreasing function on [0, 10] with a critical point at (4, 2), which of the following statements must be false? E (A) f (10) is an absolute minimum of f on [0, 10]. (B) f (4) is neither a relative maximum nor a relative minimum. (C) f ' (4) does not exist. (D) f ' (4) = 0 (E) f ' (4) < 0 2. Relevant equations Ok. It looks to me like C and E are both false, based on the mere fact that D is correct, making this question have 2 answers. Can someone please explain to me why one of them should be incorrect? 3. The attempt at a solution Thanks in advance!