|
@@ -1,6 +1,7 @@
|
|
|
\documentclass[a4paper,10pt]{article}
|
|
|
\usepackage{amssymb}
|
|
|
\usepackage{amsmath}
|
|
|
+\DeclareMahOperator\arctanh{arctanh}
|
|
|
\usepackage[utf8]{inputenc} % this is needed for umlauts
|
|
|
\usepackage[ngerman]{babel} % this is needed for umlauts
|
|
|
\usepackage[T1]{fontenc} % this is needed for correct output of umlauts in pdf
|
|
@@ -56,9 +57,6 @@ e^x &= \sum_{n = 0}^{\infty} \frac {x^n}{n!} \\
|
|
|
|
|
|
|
|
|
|
|
|
-
|
|
|
-
|
|
|
-
|
|
|
\section{Zusammenhänge}
|
|
|
\begin{align*}
|
|
|
(\cos x)^2 + (\sin x)^2 &= 1 \\
|
|
@@ -73,7 +71,7 @@ e^x &= \sum_{n = 0}^{\infty} \frac {x^n}{n!} \\
|
|
|
(\arctan x)' &= \frac {1}{1 + x^2} \\
|
|
|
(\sin x)' &= \cos x \\
|
|
|
(\cos x)' &= -\sin x \\
|
|
|
- (\text{arctanh} x)' &= \frac {1}{\sqrt {1 + x^2}}
|
|
|
+ (\arctanh x)' &= \frac {1}{\sqrt {1 + x^2}}
|
|
|
\end{align*}
|
|
|
|
|
|
|