Find the maximum value of
\[f(x) = 3x - x^3\]for $0 \le x \le \sqrt{3}.$
Question:
Find the maximum value of
\[f(x) = 3x - x^3\]for $0 \le x \le \sqrt{3}.$
Answer:
Let's think step by step.

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Find the maximum value of
\[f(x) = 3x - x^3\]for $0 \le x \le \sqrt{3}.$
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