input tableauVariation;
verbatimtex
\documentclass{article}
\usepackage[upright]{fourier}
\usepackage{preambule}
\begin{document}
etex
beginTableau(0)
newLigneVariables(btex $x$ etex);
val(btex 1 etex);
val(btex 3 etex);
val(btex $+\infty$ etex);
newLigneSignes(btex Signe de $f'(x)$ etex);
nonDefBarre; moins; valBarre(btex 0 etex); plus;
newLigneVariations(btex Variations de $ f(x)$ etex);
nonDefBarre;
limDroite(btex $+\infty$ etex,1);
valPos(btex 2,5 etex,0);
valPos(btex $+\infty$ etex,1);
endTableau;
beginTableau(1)
newLigneVariables(btex $x$ etex);
val(btex $-\pi$ etex);
val(btex $-\ofr{\pi}{2}$ etex);
val(btex 0 etex);
val(btex $\ofr{\pi}{2}$ etex);
val(btex $\pi$ etex);
newLigneVariations(btex Variations de $ \cos(x)$ etex);
valPos(btex $-1$ etex,0);
valPos(btex $0$ etex,0.5);
valPos(btex $1$ etex,1);
valPos(btex $0$ etex,0.5);
valPos(btex $-1$ etex,0);
endTableau;
beginTableau(2)
newLigneVariables(btex $x$ etex);
val(btex $-\pi$ etex);
val(btex $-\ofr{\pi}{2}$ etex);
val(btex 0 etex);
val(btex $\ofr{\pi}{2}$ etex);
val(btex $\pi$ etex);
newLigneVariations(btex Variations de $ \sin(x)$ etex);
valPos(btex $0$ etex,0.5);
valPos(btex $-1$ etex,0);
valPos(btex $0$ etex,0.5);
valPos(btex $1$ etex,1);
valPos(btex $0$ etex,0.5);
endTableau;
beginTableau(3)
newLigneVariables(btex $\Mathbold{t}$ etex);
val("0");val("1");val("2");val("3");val("4");
newLigneSignes(btex $\hbox{\bf Signe de }\atop{\displaystyle \Mathbold{F(t)}}$ etex);
plus; valBarre("0"); moins; valBarre("0"); plus; valBarre("0"); moins;
endTableau;
beginTableau(4)
newLigneVariables(btex $\Mathbold{x}$ etex);
val(btex $-\infty$ etex);val(btex $-1$ etex);val(btex $1$ etex);val(btex $+\infty$ etex);
newLigneSignes(btex $\hbox{\bf Signe de }\atop{\displaystyle \Mathbold{1-x}}$ etex);
plus; barre; plus ;valBarre("0"); moins;
newLigneSignes(btex $\hbox{\bf Signe de }\atop{\displaystyle \Mathbold{x+1}}$ etex);
moins; valBarre("0");plus;barre;plus;
newLigneSignes(btex $\hbox{\bf Signe de }\atop{\displaystyle \Mathbold{\fr{2(1-x)}{x+1}}}$ etex);
moins;valBarre("0");plus;valBarre("0");moins;
endTableau;
beginTableau(5)
newLigneVariables(btex $x$ etex);
val(btex $-\infty$ etex);
val(btex $-1$ etex );
val(btex $+\infty$ etex);
newLigneVariations(btex $\hbox{\bf Variations de }\atop{\displaystyle \Mathbold{f}}$ etex);
valPos(btex $-3$ etex ,.5);
limGauche(btex $-\infty$ etex,0)
nonDefBarre;
limDroite(btex $+\infty$ etex,1)
valPos(btex $-3$ etex ,.5);
endTableau;
end