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Exponential Function


A B C D E F G H I J K L M N O P Q R S T U V W X Y Z overview

The function

$\displaystyle y = e^x = \exp(x)
$

with the Euler-constant $ e = 2.71828...$ is referred to as exponential function. Its values are positive for all $ x\in\mathbb{R}$ ; further, it fulfills

$\displaystyle e^{x+y} = e^x e^y\,
.
$

In particular it is $ e^{-x}=1/e^x$.

\includegraphics[width=7cm]{graph_exp}
(Authors: Höllig/Hörner/Abele)

see also:


  automatically generated 4/ 7/2008