Mathematics-Online lexicon: Exponential Function

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	Mathematics-Online lexicon:
	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

The function

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

with the Euler-constant

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)

automatically generated 4/ 7/2008