# test03.tex

\documentclass[12pt]{article}
\usepackage[latin1]{inputenc}
\usepackage[frenchb]{babel}
\usepackage{amsmath}
\usepackage{xcolor,graphicx}
\usepackage[charter]{mathdesign}
\renewcommand{\ttdefault}{lmtt}
\usepackage[margin=2cm]{geometry}

\pagestyle{empty}
\parindent0pt

\newcommand{\MarqueCommandeGiac}[1]{%
\color[HTML]{8B7500}$\rightarrow$}
\newcommand{\MarqueLaTeXGiac}{%
\color[HTML]{1E90FF}}
\newcommand{\InscriptionFigureGiac}[1]{%
\begin{center}
\includegraphics{#1}
\end{center}}

\begin{document}

%@Commande-1

%@Commande-2

%@Commande-3

%@Commande-4

Pour étudier le signe de $(-2x+3)(-x+5)$, on entre:

%@Commande-4
{\MarqueCommandeGiac{4} \verb|TSa(-2,3,-1,5,1);|}
\InscriptionFigureGiac{test03-01.pdf}

Étude  du  signe  de
$(-2x+3)(x^2-1)(x^2+1)(x-1)(x^2-2)$
On entre les expressions sous cette forme:

%@Commande-5
{\MarqueCommandeGiac{5} \verb| TS([-2*x+3,x^2-1,x^2+1,x-1,x^2-2],1);|}
\InscriptionFigureGiac{test03-02.pdf}

Étude du signe de $\dfrac{(-2x+3)(-4x+5)}{(x^2-16)(x-2)}$~:

%@Commande-6
{\MarqueCommandeGiac{6} \verb|TSq("Q",[-2*x+3,-4*x+5],[x^2-16,x-2],1);|}
\InscriptionFigureGiac{test03-03.pdf}

Voici le tableau de variation de  $g~:~t\mapsto \frac{t^2}{t^2-1}$ sur
$[-10,+\infty[$~:

%@Commande-7
{\MarqueCommandeGiac{7} \verb|TV([-10,+infinity],[-1,1],"g","t",x^2/(x^2-1),1,1);|}
\InscriptionFigureGiac{test03-04.pdf}

\end{document}