If f(x) is differentiable on [a, b], then which of the following must be true?
1. f(x) is continuous on [a, b].
II. f(x) has a maximum and a minimum on [a, b].
III. f'(c)=0 for some point c in [a, b].
A. I only
D. I, II, and III
B. II only
E. none of these
C. I and II only

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