MathDB
Derivative greater than function

Source: ICMC 2023 Round 1 P2

November 28, 2022
calculusderivativefunctioncollege contestsICMC

Problem Statement

Let f:R→Rf: \mathbb{R} \to \mathbb{R} be a differentiable function such that f′(x)>f(x)>0f'(x) > f(x)>0 for all real numbers xx. Show that f(8)>2022f(0)f(8) > 2022f(0).
Proposed by Ethan Tan
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