Functions that are always less than its derivatives – math.stackexchange.com

Functions that are always less than its derivatives – math.stackexchange.com

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I was wondering if there are functions for which $$f'(x) > f(x)$$ for all $x$. Only examples I could think of were $e^x - c$ and simply $- c$ in which $c > 0$. Also, is there any significance in ...

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