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RE: Poor Misunderstood Exponential Curve. It Gets Better
I was conscious when writing this that my own understanding of the math is not great. So the exponential curve I used here is a linear function because the rate of change is constant?
The rate of change of an exponential is not constant. But there is a linear relation between its derivative (=rate of change) and the actual function. Or more explicitely d(et)/dt=et , so when you take the derivative you get the same function back. Just like when you take the function y=x insert a number for x then the output, y, is equal to x. But in the case of the exponent the function in the previous example gets swapped with the derivative.
I think I should make it a project of mine to develop a good understanding of the basics of calculus. I have read a little bit about the history of its development, stretches over a really long period of human history. I have done a lot of statistics, but very weak in other areas. Thanks very much for the great explanation