I am on derivatives at the moment and I just bumped into this number $e$, "Euler's number" . I am told that this number is special especially when I take the derivative of $e^x$ , because its slope of any point is 1. Also it is an irrational ($2.71828\ldots$) number that never ends, like $\pi$.
So I have two questions, I can't understand
- What is so special about this fact that it's slope is always 1?
- Where do we humans use this number that is so useful, how did Mr Euler come up with this number?
and how come this number is a constant? where can we find this number in nature?