This isn't a homework question or anything, but I came across this challenge problem posted on a Harvard Math 25a webpage and I'm wondering what the solution to it is since no solution is posted on the page.(adsbygoogle = window.adsbygoogle || []).push({});

Suppose that [tex]f\colon \mathbb{Q} \to \mathbb{Q}[/tex] satisfies [tex]f'(x) = f(x)[/tex] for all [tex]x \in \mathbb{Q}[/tex]. Must [tex]f[/tex] be the zero function?

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# A Challenge Problem

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