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← GATE CSE 2021 Set 2

Q25

NAT1 mark

Suppose that f:R→Rf: \mathbb{R} \rightarrow \mathbb{R} is a continuous function on the interval [−3,3][-3, 3] and a differentiable function in the interval (−3,3)(-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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