Source Latex: Corrigé du devoir de mathématiques en Première STG


Fichier
Type: Corrigé de devoir
File type: Latex, tex (source)
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Description
Devoir corrigé de mathématiques: fonctions, dérivées, variations et tangentes. Bac STG, La Réunion 2008: fonction et dérivée
Niveau
Première STG
Mots clé
fonctions, dérivées, variations, équation de tangente, devoir de mathématiques, devoir corrigé, 1STG, STMG, maths
Voir aussi:

Documentation sur LaTeX
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Source Latex de la correction du devoir

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%                                      %
%   Generateur automatique de devoir,  %
%   par Y. Morel                       %
%   http://xymaths.free.fr             %
%                                      %
%      Genere le:                      %
%   dimanche 05 f�vrier 2012           %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\documentclass[10pt,onecolumn,a4paper]{article}

\usepackage[french]{babel}
\selectlanguage{francais}
\usepackage[latin1]{inputenc}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{graphicx}
\usepackage{epsf}
\usepackage{enumerate}
\usepackage{array}
\usepackage{pst-all}

% Raccourcis diverses:
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\ct{\bf\LARGE{Corrig\'e du devoir de math\'ematiques}}


\bgex

a)\ $f'(x)=5x^4+3$
\hspace{1cm}
b)\ $g'(x)=24x^7-\dfrac{1}{x^2}$ 
\hspace{1cm}
c)\ $h'(x)=-\dfrac{3}{(3x-2)^2}$
\hspace{1cm}
d)\ $k'(x)=\dfrac{13}{(2x+3)^2}$

\enex


\bgex
\par
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\enex


\bgex
\bgen
\item $f'(x)=3x^2-8x+2$.
\item $T_1: y=f'(1)(x-1)+f(1)$, 
  avec $f'(1)=-3$ et $f(1)=-2$, 

  d'o\`u, \ul{$T_1: y=-3(x-1)-2=-3x+1$}. 

  \vspd
  $T_0: y=f'(0)(x-0)+f(0)$, 
  avec $f'(0)=2$ et $f(0)=-1$, 

  d'o\`u, \ul{$T_0: y=2(x-0)-1=2x-1$}. 

  \vspd
  $T_{-1}: y=f'(-1)(x-(-1))+f(-1)$, 
  avec $f'(-1)=13$ et $f(-1)=-8$, 

  d'o\`u, \ul{$T_0: y=13(x+1)-8=13x+5$}. 

\item \ 

  \begin{pspicture}(-3,-5.5)(4,2.8)
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    \rput(1.8,1.8){$T_0$}
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    %\psline[linestyle=dashed](-1,0)(-1,-8)
  \end{pspicture}

\enen

\enex

\label{LastPage}
\end{document}

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