I guess I was too cryptic. e is important because the derivative of any exponential (say, a^x) is a^x times its derivative at x=0. If we find an ‘a’ whose derivative (i.e. slope) at x=0 is 1, then we have a nifty little function. Obviously, that ‘a’ is ‘e’. My question is, how do you go from there to finding the value of e?
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