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Mathematics-Online course: Preparatory Course Mathematics - Analysis - Functions

Exponential Function

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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)
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  automatically generated 1/9/2017