Medium
Let $f$ be continuous on $[1, 5]$ and differentiable in $(1, 5).$ If $f(1)=-3$ and $f'(x) \ge 9$ for all $x \in (1, 5)$,then which of the following is true?
- A$f(5) \ge 33$
- B$f(5) \ge 33$
- C$f(5) \le 36$
- D$f(5) \ge 9$
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