Ononot — A function f: \mathbb{R} \to \mathbb{R} satisfies |f(x) - f(

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Limits & Continuityhard

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A function $f: \mathbb{R} \to \mathbb{R}$ satisfies $|f(x) - f(y)| \leq 5|x-y|^2$ . What is $f'(x)$ ?