My wife was working through finding the derivative of the #exponential #function #exp(x) from first principles. I was made aware that she hadn't actually seen why the number e=2.7128... was the #base the of the function and that that's what you need to start with. In fact, that means one must actually start by finding the first differential of a general #logarithm and find #e from there. Once you've find the #FirstDerivative of #ln(x), the #derivative of the #ExponentialFunction is straightforward.
Anyway, here it for anyone who might be interested for education purposes.
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