Origin of Exponential function

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This might be an odd question, but how was the exponential function $e$ actually discovered?

We can easily say that $\pi$ was discovered when they(primitive people) divided the circumference of the circle by its diameter, but I'm unable to link any incidents like this to the origin of $e$.

Looking up on the internet I saw something about the calculation of interest rates linked to $e$, but I was unable to understand it, some explanation would be helpful.