%@AUTEUR: Guillaume Connan input tableauVariation; verbatimtex %&latex \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; %% %% Tableau de variations cosinus %% 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; %% %% Tableau de variations sinus %% 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; %% Tableau de signes produit 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; %% Autre Tableau de signes produit 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; %% Tableau variation hyperbole 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; %% %% Tableau de variations Bac S Juin 2007 %% beginTableau(6) newLigneVariables(btex $x$ etex); val(btex $-1$ etex); val(btex $0$ etex); val(btex $+\infty$ etex); newLigneVariations(btex Variations de $ N(x)$ etex); nonDefBarre; limDroite(btex ? etex,0); valBarre("0"); valPos(btex ? etex,1); endTableau; beginTableau(7) newLigneVariables(btex $x$ etex); val(btex $-1$ etex); val(btex $0$ etex); val(btex $4$ etex); val(btex $+\infty$ etex); newLigneVariations(btex Variations de $ f(x)$ etex); nonDefBarre; limDroite(btex ? etex,1); valPos(btex 0 etex,0 ) valBarre(btex $4-\efr{\ln(5)}{5}$ etex ) valPos(btex ? etex,1); endTableau; %% %% Tableau de variations Bac STI Juin 2007 %% beginTableau(8) newLigneVariables(btex $x$ etex); val(btex $0$ etex); val(btex $1$ etex); val(btex $+\infty$ etex); newLigneVariations(btex Variations de $ g(x)$ etex); nonDefBarre; limDroite(btex ? etex,0); valBarre("0"); valPos(btex ? etex,1); newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle g(x)}$ etex); nonDefBarre;moins ;valBarre("0"); plus; endTableau; beginTableau(9) newLigneVariables(btex $x$ etex); val(btex $0$ etex); val(btex $1$ etex); val(btex $+\infty$ etex); newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex); nonDefBarre;moins ;valBarre("0"); plus; newLigneVariations(btex $\hbox{Variations de }\atop{\displaystyle f(x)}$ etex); nonDefBarre; limDroite(btex $+\infty$ etex,1); valPos(btex 0 etex,0); valPos(btex $+\infty$ etex,1); endTableau; %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% TVI 3 solutions beginTableau(10) newLigneVariables(btex $x$ etex); val(btex $-\infty$ etex); val(btex $\alpha_1$ etex); val(btex $-1$ etex); val(btex $\alpha_2$ etex); val(btex $1$ etex); val(btex $\alpha_3$ etex); val(btex $+\infty$ etex); newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex); plus;valBarre("");plus; valBarre("0"); moins;valBarre("");moins; valBarre("0"); plus;valBarre("");plus; newLigneVariations(btex $\hbox{Variations de }\atop{\displaystyle f(x)}$ etex); valPos(btex $-\infty$ etex,0); valBarre("0"); valPos(btex 3 etex,1); valBarre("0"); valPos(btex $-1$ etex,0); valBarre("0"); valPos(btex $+\infty$ etex,1); endTableau; end