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
{\MarqueCommandeGiac{1} \verb| read("XcasTabSign.meta"):;|}
 
%@Commande-2
{\MarqueCommandeGiac{2} \verb| read("XcasTabSignL.meta"):;|}
 
%@Commande-3
{\MarqueCommandeGiac{3} \verb| read("XcasTabSignQ.meta"):;|}
 
%@Commande-4
{\MarqueCommandeGiac{4} \verb| read("XcasTV.meta"):;|}
 
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}