Suppose that \(f: \mathbb{R} \rightarrow \mathbb{R}\) is a continuous function…

GATE · 2021 · CS · Set 2 · Computer Science & IT

Suppose that f:R→Rf: \mathbb{R} \rightarrow \mathbb{R} is a continuous function on the interval [−3,3] and a differentiable function in the interval (−3,3) such that for every xx in the interval, f’(x)≤2f’(x) \leq 2 if f(−3)=7f(-3)=7, then f(3)f(3) is at most __________ .

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