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Bounding the Derivative

Source: VTRMC 2022 P6

January 4, 2023
VTRMCcollege contestsfunctionderivativecalculus

Problem Statement

Let f:R→Rf : \mathbb{R} \to \mathbb{R} be a function whose second derivative is continuous. Suppose that ff and f′′f'' are bounded. Show that f′f' is also bounded.
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