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%!PS-Adobe-3.0 EPSF-3.0
%%BoundingBox: 20 167 520 745
/a {0.5} bind def
/b {0.75 sqrt} bind def

/curve { dup 0 le {pop pop pop lineto} { 20 dict begin
  1 sub /d exch def /y1 exch def /x1 exch def /y2 exch def /x2 exch def
  /x {x2 x1 sub 3 div} bind def
  /y {y2 y1 sub 3 div} bind def
  /xa {x1 x add} bind def
  /ya {y1 y add} bind def
  /xb {xa x a mul y b mul sub add} bind def
  /yb {ya x b mul y a mul add add} bind def
  /xc {x2 x sub} bind def
  /yc {y2 y sub} bind def
  xa ya x1 y1 d curve
  xb yb xa ya d curve
  xc yc xb yb d curve
  x2 y2 xc yc d curve
end } ifelse } def

/tricurve { /it exch def
  /y3 exch def /x3 exch def
  /y2 exch def /x2 exch def
  /y1 exch def /x1 exch def
  newpath x1 y1 moveto
  x2 y2 x1 y1 it curve
  x3 y3 x2 y2 it curve
  x1 y1 x3 y3 it curve
  gsave 0.7 0.7 1 setrgbcolor fill grestore stroke
} def

0 setlinewidth 20 600 520 600 270 167 5 tricurve

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\documentclass[a4paper]{article}
\usepackage[ngerman]{babel}
\usepackage{pst-plot, pstricks}
\usepackage{fancybox,amssymb,color}
\pagestyle{empty}
\parindent=0pt
\usepackage{fancybox,amssymb,color}
\usepackage{pst-plot, pstricks}
\usepackage{graphicx}
\newpsobject{showgrid}{psgrid}%
    {subgriddiv=1,griddots=4,gridlabels=0pt}

\begin{document}
\psset{unit=1.0cm}
\begin{center}
Hyperbelfunktionen mit PSTricks
\normalsize
\vspace{0.7cm}\\
\begin{pspicture}(-4,-4)(4,4)
   \psclip{\psframe(-4,-4)(4,4)}
   \psaxes{->}(0,0)(-4,-4)(4,4)
   \psplot[plotstyle=curve,linestyle=dotted,%
   linewidth=1pt]{-2.2}{2.2}{2.71828 x exp %
   2.71828 x neg exp add 2 div}
   \psplot[plotstyle=curve]{-2.2}{2.2}%
   {2.71828 x exp 2.71828 x neg exp sub 2 div}%
   \psplot[plotstyle=curve,linestyle=dashed]%
   {-4}{4}{2.71828 x exp 2.71828 x neg exp sub %
   2.71828 x exp 2.71828 x neg exp add div}%
   \endpsclip
   \psplot[linestyle=dotted]{-4}{4}{x}

   \rput(3.5,-0.2){$\mathbf{x}$}
   \rput(0.3,3.5){$\mathbf{y}$}
   \rput(-2.3,-3){\colorbox{white}%
   {\ovalbox{$\sinh x=\frac{e^x-e^{-x}}{2}$}}}
   \rput(-2.3,0.8){\colorbox{white}%
   {\ovalbox{$\cosh x=\frac{e^x+e^{-x}}{2}$}}}
   \rput(2.9,0.6){\colorbox{white}%
   {\ovalbox{$\tanh x$}}}
\end{pspicture}
\end{center}
\end{document}