tkz-tab

Vous trouverez le package et sa documentation sur le serveur du CTAN

tkz-tab ctan

Tableau de signes

tableau de signes : [PDF] [TEX]

\documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage[upright]{fourier}
\usepackage[dvipsnames]{xcolor}
\usepackage{tkz-tab}
\usetikzlibrary{decorations.pathreplacing} 
\usepackage{amsmath,fullpage}
\parindent=0pt

\begin{document}
\begin{tikzpicture} 
\tkzTabInit[lgt=2,espcl=1] 
{$x$         /1, 
$x^2-3x+2$   /1, 
$\ln (x^2-1)$  /1,
$E(x)$       /1}% 
{$-\infty$ ,$-\sqrt{2}$, $-1$ , $1$ ,$\sqrt{2}$ , $2$ , $+\infty$}% 
\draw[fill=red!20,opacity=.3] (N10) rectangle (N74); 
\draw[decoration={brace,amplitude=12pt}, 
decorate,line width=2pt,red] (N10) -- (N70) node[above=12pt,midway]{\textcolor{red}{\textbf{R}}};
\tkzTabLine{ , + , t , + , t , + , z , - , t , - , z , + , }
\tkzTabLine{ , + , z , - , d , h , d , - , z , + , t , + , }
\tkzTabLine{ , + , z , - , d , h , d , +  ,z , - , z , + , }
\end{tikzpicture} 
\end{document}

Variations d'une fonction'

variations of function : [PDF] [TEX]

\documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage[upright]{fourier}
\usepackage[dvipsnames]{xcolor}
\usepackage{tkz-tab}
\usepackage{amsmath,fullpage}
\newcommand*{\E}{\ensuremath{\mathrm{e}}}
\parindent=0pt

\begin{document}
\begin{tikzpicture}[scale=1.2]
  \tkzTabInit[espcl=5]%
  {$x$/1,%
   Signe\\
   de $\dfrac{1}{x}$/2,%
   Variation\\
   de $\ln$/3}%
   {$0$  ,  $+\infty$}%
  \tkzTabLine {d,+,}%
  \tkzTabVar {D-/ $-\infty$ , + /$+\infty$ }
  \draw[opacity=.3,fill=orange] (FR12) circle (10pt);
  \draw[opacity=.3,fill=red] (FL22) circle (10pt);
  \tkzTabVal[draw] {1}{2} {0.3} {$\text{1}$} {$0$}
  \tkzTabVal[draw] {1}{2} {0.7} {$\E$} {$1$}
\end{tikzpicture}
\end{document}