Eulers Number

Euler’s number is a naturally occuring number related to exponential and logarithmic growth. It is often used in the exponential function f(x) = e^x and the inverse of the exponential function - the natural logarithm function f(x) = ln(x).

Exponential Function and its inverse the Natural Logarithm Function

The significance of Euler’s number is that the value of the exponential function e^x at any point x represents exactly how fast the function is growing at that moment.