Extra explanation: base e | Wiskunde op Tilburg University

Introduction: A function of the form

$y(x)=a^x$ , where

$a$ (

$a \neq 1)$ is a positive number, is called an exponential function with base

$a$ .

Definition: The exponential function with base

$e$ ,

$y(x)=e^x$ , is often found in economic (growth) models. The number

$e$ (

$\approx 2.718$ ) is called the number of Euler.

Below a figure of

$y(x)=e^x$ .