%@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