A function h is continuous on [0,5] and differentiable on (0,5) with ∣h(5)−h(0)∣≤7. Which of the following is the largest number K such that one can guarantee the existence of c in (0,5) with ∣h′(c)∣≤K?
a) 7
b) 75
c) 57
d) Cannot be determined from the given information