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authorNorbert Preining <norbert@preining.info>2019-09-02 13:46:59 +0900
committerNorbert Preining <norbert@preining.info>2019-09-02 13:46:59 +0900
commite0c6872cf40896c7be36b11dcc744620f10adf1d (patch)
tree60335e10d2f4354b0674ec22d7b53f0f8abee672 /macros/latex/contrib/tablor/Figures
Initial commit
Diffstat (limited to 'macros/latex/contrib/tablor/Figures')
-rw-r--r--macros/latex/contrib/tablor/Figures/TSav-105.mp22
-rw-r--r--macros/latex/contrib/tablor/Figures/capture.eps1509
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.0168
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.1168
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.1094
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.105184
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.11106
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.12203
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.13358
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.14207
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.15207
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.16233
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.17233
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.18169
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.19126
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.287
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.20102
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.21362
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.22341
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.23155
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.24332
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.25122
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.26286
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.27200
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.2878
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.2993
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.3146
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.30108
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.31156
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.32138
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.33115
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.3588
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.36156
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.37111
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.38137
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.39143
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.473
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.40161
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.41162
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.42114
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.43323
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.44144
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.45123
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.47128
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.48109
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.49176
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.5108
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.50206
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.5171
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.52261
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.53206
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.54362
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.55330
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.56352
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.57221
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.669
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.7168
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.8165
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.984
-rw-r--r--macros/latex/contrib/tablor/Figures/tablor_Tab.mp727
60 files changed, 12286 insertions, 0 deletions
diff --git a/macros/latex/contrib/tablor/Figures/TSav-105.mp b/macros/latex/contrib/tablor/Figures/TSav-105.mp
new file mode 100644
index 0000000000..0f84f2a3c0
--- /dev/null
+++ b/macros/latex/contrib/tablor/Figures/TSav-105.mp
@@ -0,0 +1,22 @@
+ beginTableau(105)
+newLigneVariables(btex $ {x}$ etex);
+ val(btex $-50$ etex);val(btex $-\frac{2}{3}$ etex);
+val(btex $-\frac{\sqrt{5}}{5}$ etex);
+val(btex $\frac{\sqrt{5}}{5}$ etex);
+val(btex $50$ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle 3 x+2}$ etex);
+ moins;
+ valBarre(btex 0 etex);plus;barre;
+ plus;barre;plus;
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle 5 x^{2}-1}$ etex);
+ plus;barre;
+ plus;
+ valBarre(btex 0 etex);moins;valBarre(btex 0 etex);plus;
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle F(x)}$ etex);
+ moins;valBarre(btex 0 etex); plus;valBarre(btex 0 etex);moins;valBarre(btex 0 etex);plus;
+
+endTableau;
+
+ \ No newline at end of file
diff --git a/macros/latex/contrib/tablor/Figures/capture.eps b/macros/latex/contrib/tablor/Figures/capture.eps
new file mode 100644
index 0000000000..7cf5b460c5
--- /dev/null
+++ b/macros/latex/contrib/tablor/Figures/capture.eps
@@ -0,0 +1,1509 @@
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diff --git a/macros/latex/contrib/tablor/Figures/tablor_Tab.mp b/macros/latex/contrib/tablor/Figures/tablor_Tab.mp
new file mode 100644
index 0000000000..260b9b876d
--- /dev/null
+++ b/macros/latex/contrib/tablor/Figures/tablor_Tab.mp
@@ -0,0 +1,727 @@
+input tableauVariation;
+verbatimtex
+%&latex
+\documentclass{article}
+\usepackage[upright]{kpfonts}% ou mathpazo, lmodern, etc. ou rien !
+%\usepackage{amsmath}
+\renewcommand\mbox[1]{ #1 } % pour les mbox intempestifs de xcas
+\renewcommand\cdot{ } % idem pour les cdot
+\begin{document}
+\catcode`\@=0 % pour utiliser le @
+etex
+beginTableau(0) newLigneVariables(btex $t$ etex);val(btex $-10$ etex);
+val(btex $-1$ etex);
+val(btex $0$ etex);
+val(btex $1$ etex);
+val(btex $+\infty $ etex);
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle g'(t)}$ etex); plus; nonDefBarre;plus;valBarre(btex 0 etex);moins;nonDefBarre;moins;
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle g}$ etex);valPos(btex $\frac{100}{99}$ etex,0); limGauche(btex
+ $+\infty $
+ etex,1);nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex $0$
+ etex,1);limGauche(btex
+ $-\infty$
+ etex,0);nonDefBarre;limDroite(btex $+\infty $ etex,1);valPos(btex $1$ etex,0);
+endTableau;
+
+beginTableau(1) newLigneVariables(btex $t$ etex);val(btex $-10$ etex);
+val(btex $-1$ etex);
+val(btex $0$ etex);
+val(btex $1$ etex);
+val(btex $+\infty $ etex);
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle g'(t)}$ etex); plus; nonDefBarre;plus;valBarre(btex 0 etex);moins;nonDefBarre;moins;
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle g}$ etex);valPos(btex $\frac{100}{99}$ etex,0); limGauche(btex
+ $+\infty $
+ etex,1);nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex $0$
+ etex,1);limGauche(btex
+ $-\infty$
+ etex,0);nonDefBarre;limDroite(btex $+\infty $ etex,1);valPos(btex $1$ etex,0);
+endTableau;
+
+beginTableau(2) newLigneVariables(btex $x$ etex);val(btex $0$ etex);
+val(btex $2$ etex);
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);valBarre(btex 0 etex);plus;
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $0$ etex,0);valPos(btex $4$ etex,1);
+endTableau;
+
+
+beginTableau(3)
+newLigneVariables(btex $ {x}$ etex);
+ val(btex $-\infty $ etex);val(btex $\frac{-3}{5}$ etex);
+val(btex $2$ etex);
+val(btex $+\infty $ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle -45 x-27}$ etex); plus; valBarre(btex 0 etex);moins;barre;moins;
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle 2-x}$ etex); plus;barre;plus;valBarre(btex 0 etex);moins;
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle @varphi(x)}$ etex); plus;valBarre(btex 0 etex); moins;nonDefBarre;plus;
+endTableau;
+
+beginTableau(4) newLigneVariables(btex $x$ etex);val(btex $-5$ etex);
+val(btex $0$ etex);
+val(btex $7$ etex);
+
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $25$ etex,1); valPos(btex $0$
+ etex,0);
+valPos(btex $49$ etex,1);
+endTableau;
+
+beginTableau(5) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);
+val(btex $0$ etex);
+val(btex $+\infty $ etex);
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; valBarre(btex 0 etex);plus;
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $+\infty $ etex,1); valPos(btex $0$
+ etex,0);
+valPos(btex $+\infty $ etex,1);
+endTableau;
+
+
+
+beginTableau(6) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);
+val(btex $0$ etex);
+val(btex $+\infty $ etex);
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; valBarre(btex 0 etex);plus;
+endTableau;
+
+beginTableau(7) newLigneVariables(btex $t$ etex);val(btex $-10$ etex);
+val(btex $-1$ etex);
+val(btex $0$ etex);
+val(btex $1$ etex);
+val(btex $+\infty $ etex);
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle g'(t)}$ etex); plus; nonDefBarre;plus;valBarre(btex 0 etex);moins;nonDefBarre;moins;
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle g}$ etex);valPos(btex $\frac{100}{99}$ etex,0); limGauche(btex
+ $+\infty $
+ etex,1);nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex $0$
+ etex,1);limGauche(btex
+ $-\infty$
+ etex,0);nonDefBarre;limDroite(btex $+\infty $ etex,1);valPos(btex $1$ etex,0);
+endTableau;
+
+beginTableau(8) newLigneVariables(btex $t$ etex);val(btex $-\pi $ etex);
+val(btex $\frac{(-\pi )}{2}$ etex);
+val(btex $\frac{\pi }{2}$ etex);
+val(btex $\pi $ etex);
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle g'(t)}$ etex); moins; valBarre(btex 0 etex);plus;valBarre(btex 0 etex);moins;
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle g}$ etex);valPos(btex $\frac{1}{2}$ etex,1); valPos(btex $\frac{-1}{2}$
+ etex,0);
+valPos(btex $\frac{3}{2}$
+ etex,1);valPos(btex $\frac{1}{2}$ etex,0);
+endTableau;
+
+beginTableau(9) newLigneVariables(btex $x$ etex);val(btex $1$ etex);val(btex $2$ etex);val(btex $3$ etex);val(btex $4$ etex);
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $-1$ etex,0); valPos(btex $5$etex,1);valPos(btex $2$etex,0);valPos(btex $9$ etex,1);
+endTableau;
+
+beginTableau(10) newLigneVariables(btex $x$ etex);val(btex $1$ etex);val(btex $2$ etex);val(btex $3$ etex);val(btex $4$ etex);
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $-1$ etex,1); limGauche(btex$-\infty $etex,0);nonDefBarre;limDroite(btex$+\infty $etex,1);valPos(btex $2$etex,0);valPos(btex $9$ etex,1);
+endTableau;
+
+beginTableau(11) newLigneVariables(btex $x$ etex);val(btex $1$ etex);val(btex $2$ etex);val(btex $3$ etex);val(btex $4$ etex);
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);nonDefBarre;limDroite(btex $-1$ etex,1); limGauche(btex$-\infty $etex,0);nonDefBarre;limDroite(btex$+\infty $etex,1);valPos(btex $2$etex,0);limGauche(btex $+\infty $ etex,1);nonDefBarre;
+endTableau;
+
+beginTableau(12) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);
+val(btex $-1$ etex);
+val(btex $1$ etex);
+val(btex $+\infty $ etex);
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle @varphi'(x)}$ etex);moins; debutNonDefStrict;finNonDefStrict;plus;
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle @varphi}$ etex);valPos(btex $+\infty $ etex,1); limGauche(btex $0$ etex,0);debutNonDef;finNonDef;limDroite(btex $0$ etex,0);valPos(btex $+\infty $ etex,1);
+endTableau;
+
+beginTableau(13) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);
+val(btex $-1$ etex);
+val(btex $1$ etex);
+val(btex $\frac{5}{2}$ etex);
+val(btex $4$ etex);
+val(btex $6$ etex);
+val(btex $+\infty $ etex);
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; debutNonDefStrict;finNonDefStrict;plus;valBarre(btex 0 etex);moins;debutNonDefStrict;finNonDefStrict;plus;
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $+\infty $ etex,1); limGauche(btex $-\infty$ etex,0);debutNonDefStrict;finNonDefStrict;limDroite(btex $-\infty$ etex,0);valPos(btex$\ln\left(\frac{441}{16}\right)$etex,1);limGauche(btex $-\infty$ etex,0);debutNonDefStrict;finNonDefStrict;limDroite(btex $-\infty$ etex,0);valPos(btex $+\infty $ etex,1);
+endTableau;
+
+beginTableau(14) newLigneVariables(btex $x$ etex);val(btex $-10$ etex);val(btex $\alpha_1$ etex);val(btex $-1$ etex);val(btex $0$ etex);val(btex $1$ etex);val(btex $\alpha_2$ etex);val(btex $+\infty $ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex); plus;valBarre(btex$
+ $ etex);plus; nonDefBarre;plus;valBarre(btex 0 etex);moins;nonDefBarre;moins;valBarre(btex $ $ etex);moins;
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);
+valPos(btex $\frac{100}{99}$ etex,0);valPos(btex $ 10 $ etex,0.5); limGauche(btex $+\infty $ etex,1);nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex $0$
+ etex,1);limGauche(btex $-\infty$ etex,0);nonDefBarre;limDroite(btex $+\infty $ etex,1);valPos(btex
+ $ 10 $ etex,0.5);
+ valPos(btex $1$ etex,0);
+endTableau;
+
+beginTableau(15) newLigneVariables(btex $x$ etex);val(btex $-10$ etex);val(btex $-1$ etex);val(btex $\alpha_1$ etex);val(btex $0$ etex);val(btex $\alpha_2$ etex);val(btex $1$ etex);val(btex $+\infty $ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex); plus; nonDefBarre;plus;valBarre(btex $ $ etex);plus;valBarre(btex 0 etex);moins;valBarre(btex $ $ etex);moins;nonDefBarre;moins;
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);
+valPos(btex $\frac{100}{99}$ etex,0); limGauche(btex $+\infty $ etex,1);nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex
+ $ -1 $ etex,0.5);
+ valPos(btex $0$
+ etex,1);valPos(btex
+ $ -1 $ etex,0.5);
+ limGauche(btex $-\infty$ etex,0);nonDefBarre;limDroite(btex $+\infty $ etex,1);valPos(btex $1$ etex,0);
+endTableau;
+
+beginTableau(16) newLigneVariables(btex $x$ etex);val(btex $-10$ etex);val(btex $\frac{(-\left(\sqrt{10}\right))}{3}$ etex);val(btex $-1$ etex);val(btex $0$ etex);val(btex $1$ etex);val(btex $\frac{\sqrt{10}}{3}$ etex);val(btex $+\infty $ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex); plus;valBarre(btex$
+ $ etex);plus; nonDefBarre;plus;valBarre(btex 0 etex);moins;nonDefBarre;moins;valBarre(btex $ $ etex);moins;
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);
+valPos(btex $\frac{100}{99}$ etex,0);valPos(btex $ 10 $ etex,0.5); limGauche(btex $+\infty $ etex,1);nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex $0$
+ etex,1);limGauche(btex $-\infty$ etex,0);nonDefBarre;limDroite(btex $+\infty $ etex,1);valPos(btex
+ $ 10 $ etex,0.5);
+ valPos(btex $1$ etex,0);
+endTableau;
+
+beginTableau(17) newLigneVariables(btex $x$ etex);val(btex $-10$ etex);val(btex $-1$ etex);val(btex $\frac{(-\left(\sqrt{2}\right))}{2}$ etex);val(btex $0$ etex);val(btex $\frac{\sqrt{2}}{2}$ etex);val(btex $1$ etex);val(btex $+\infty $ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex); plus; nonDefBarre;plus;valBarre(btex $ $ etex);plus;valBarre(btex 0 etex);moins;valBarre(btex $ $ etex);moins;nonDefBarre;moins;
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);
+valPos(btex $\frac{100}{99}$ etex,0); limGauche(btex $+\infty $ etex,1);nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex
+ $ -1 $ etex,0.5);
+ valPos(btex $0$
+ etex,1);valPos(btex
+ $ -1 $ etex,0.5);
+ limGauche(btex $-\infty$ etex,0);nonDefBarre;limDroite(btex $+\infty $ etex,1);valPos(btex $1$ etex,0);
+endTableau;
+
+beginTableau(18) newLigneVariables(btex $x$ etex);val(btex $-\pi $ etex);val(btex $\frac{(-\pi )}{3}$ etex);val(btex $0$ etex);val(btex $\frac{\pi }{3}$ etex);val(btex $\pi $ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle @cos'(x)}$ etex);valBarre(btex 0 etex);plus;valBarre(btex$
+ $ etex);plus; valBarre(btex 0 etex);moins;valBarre(btex $ $ etex);moins;
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle @cos}$ etex);
+valPos(btex $-1$ etex,0);valPos(btex $ 1/2 $ etex,0.5); valPos(btex $1$
+ etex,1);valPos(btex
+ $ 1/2 $ etex,0.5);valPos(btex $-1$ etex,0);
+endTableau;
+
+beginTableau(19) newLigneVariables(btex $x$ etex);val(btex $0$ etex);
+val(btex $ 0.156422$ etex);
+val(btex $+\infty $ etex);
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle g'(x)}$ etex);nonDefBarre;moins; valBarre(btex 0 etex);plus;
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle g}$ etex);nonDefBarre;limDroite(btex $-1$ etex,1); valPos(btex $ -1.145392$
+ etex,0);
+valPos(btex $+\infty $ etex,1);
+endTableau;
+
+beginTableau(20) newLigneVariables(btex $t$ etex);val(btex $-\infty $ etex);
+val(btex $0$ etex);
+val(btex $+\infty $ etex);
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle g'(t)}$ etex);moins; nonDefBarre;plus;
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle g}$ etex);valPos(btex $1$ etex,1); valPos(btex
+ $0$
+ etex,0);valPos(btex $1$ etex,1);
+endTableau;
+
+beginTableau(21) newLigneVariables(btex $t$ etex);val(btex $0$ etex);
+val(btex $\frac{\pi }{8}$ etex);
+val(btex $\frac{\pi }{3}$ etex);
+val(btex $\frac{3 \pi }{8}$ etex);
+val(btex $\frac{\pi }{2}$ etex);
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle x'(t)}$ etex);valBarre(btex $0$ etex);moins;valBarre(btex $-3 \sin\left(\frac{3 \pi }{8}\right)$ etex);moins;valBarre(btex $0$ etex);plus;valBarre(btex $3 \sin\left(\frac{\pi }{8}\right)$ etex);plus;valBarre(btex $3$ etex);
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle x}$ etex);valPos(btex $1$ etex,1);valPos(btex $\cos\left(\frac{3 \pi }{8}\right)$
+ etex,0.5);valPos(btex $-1$
+ etex,0);
+valPos(btex $-\left(\cos\left(\frac{\pi }{8}\right)\right)$
+ etex,0.5);valPos(btex $0$ etex,1);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle y'(t)}$ etex);valBarre(btex $4$ etex);plus;valBarre(btex $0$ etex);moins;valBarre(btex $-2$ etex);moins;valBarre(btex $0$ etex);plus;valBarre(btex $4$ etex);
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle y}$ etex);valPos(btex $0$ etex,0);valPos(btex $1$
+ etex,1);valPos(btex $\frac{(-\left(\sqrt{3}\right))}{2}$
+ etex,0.5);valPos(btex $-1$
+ etex,0);
+valPos(btex $0$ etex,1);
+endTableau;
+
+beginTableau(22) newLigneVariables(btex $t$ etex);val(btex $-\infty $ etex);
+val(btex $-4$ etex);
+val(btex $-1$ etex);
+val(btex $0$ etex);
+val(btex $2$ etex);
+val(btex $+\infty $ etex);
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle x'(t)}$ etex); moins;valBarre(btex $0$ etex);plus;nonDefBarre;plus;valBarre(btex $0$ etex);moins;nonDefBarre;moins;
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle x}$ etex);valPos(btex $1$ etex,1);valPos(btex $\frac{8}{9}$
+ etex,0);
+limGauche(btex
+ $+\infty $
+ etex,1);nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex $0$
+ etex,1);limGauche(btex
+ $-\infty$
+ etex,0);nonDefBarre;limDroite(btex $+\infty $ etex,1);valPos(btex $1$ etex,0);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle y'(t)}$ etex); moins;valBarre(btex $\frac{-64}{9}$ etex);moins;nonDefBarre;moins;valBarre(btex $0$ etex);plus;valBarre(btex $\frac{44}{9}$ etex);plus;
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle y}$ etex);valPos(btex $+\infty $ etex,1);valPos(btex $\frac{32}{3}$
+ etex,0.5);limGauche(btex
+ $-\infty$
+ etex,0);nonDefBarre;limDroite(btex $+\infty $ etex,1);valPos(btex $0$
+ etex,0);
+valPos(btex $\frac{16}{3}$
+ etex,0.5);valPos(btex $+\infty $ etex,1);
+endTableau;
+
+
+ beginTableau(23)
+ newLigneVariables(btex $ {x}$ etex);
+ val(btex $-\infty$ etex);val(btex $\frac{3}{2}$ etex);
+val(btex $5$etex);
+val(btex $+\infty$ etex);
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle -2x+3}$ etex);plus;valBarre(btex 0 etex);moins;barre;moins;
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle -x+5}$ etex);plus;barre;plus;valBarre(btex 0 etex);moins;
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {(-2x+3)(-x+5)}}$ etex);plus;valBarre(btex 0 etex);moins;valBarre(btex 0 etex);plus;
+endTableau;
+ beginTableau(24)
+newLigneVariables(btex $ {x}$ etex);
+ val(btex $-\infty $ etex);val(btex $-\left(\sqrt{2}\right)$ etex);
+val(btex $-1$ etex);
+val(btex $1$ etex);
+val(btex $\sqrt{2}$ etex);
+val(btex $\frac{3}{2}$ etex);
+val(btex $+\infty $ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle -2 x+3}$ etex);
+ plus;barre;
+ plus;barre;
+ plus;barre;
+ plus;barre;
+ plus;valBarre(btex 0 etex);moins;
+
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle x^{2}-1}$ etex);
+ plus;barre;
+ plus;
+ valBarre(btex 0 etex);moins;
+ valBarre(btex 0 etex);plus;barre;
+ plus;barre;plus;
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle x^{2}+1}$ etex);
+ plus;barre;
+ plus;barre;
+ plus;barre;
+ plus;barre;
+ plus;barre;plus;
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle x-1}$ etex);
+ moins;barre;
+ moins;barre;
+ moins;
+ valBarre(btex 0 etex);plus;barre;
+ plus;barre;plus;
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle x^{2}-2}$ etex);
+ plus;
+ valBarre(btex 0 etex);moins;barre;
+ moins;barre;
+ moins;
+ valBarre(btex 0 etex);plus;barre;plus;
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle P(x)}$ etex);
+ moins;valBarre(btex 0 etex); plus;valBarre(btex 0 etex);moins;valBarre(btex 0 etex);moins;valBarre(btex 0 etex);plus;valBarre(btex 0 etex);moins;
+
+endTableau;
+
+ beginTableau(25)
+newLigneVariables(btex $ {x}$ etex);
+ val(btex $-15$ etex);val(btex $-10$ etex);
+val(btex $10$ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle x-10}$ etex);
+ moins;barre;moins;
+
+ valBarre(btex 0 etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle x+10}$ etex);
+ moins;valBarre(btex 0 etex);plus;
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f(x)}$ etex);
+ plus;valBarre(btex 0 etex); moins;
+ valBarre(btex 0 etex);
+endTableau;
+
+
+beginTableau(26)
+newLigneVariables(btex $ {x}$ etex);
+ val(btex $-\infty $ etex);val(btex $-4$ etex);
+val(btex $\frac{5}{4}$ etex);
+val(btex $\frac{3}{2}$ etex);
+val(btex $2$ etex);
+val(btex $4$ etex);
+val(btex $+\infty $ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle -2 x+3}$ etex); plus;barre;plus;barre;plus; valBarre(btex 0 etex);moins;barre;moins;barre;moins;
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle -4 x+5}$ etex); plus;barre;plus; valBarre(btex 0 etex);moins;barre;moins;barre;moins;barre;moins;
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle x^{2}-16}$ etex); plus; valBarre(btex 0 etex);moins;barre;moins;barre;moins;barre;moins;valBarre(btex 0 etex);plus;
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle x-2}$ etex); moins;barre;moins;barre;moins;barre;moins; valBarre(btex 0 etex);plus;barre;plus;
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle Q(x)}$ etex); moins;nonDefBarre; plus;valBarre(btex 0 etex);moins;valBarre(btex 0 etex);plus;nonDefBarre;moins;nonDefBarre;plus;
+endTableau;
+
+
+beginTableau(27)
+newLigneVariables(btex $ {x}$ etex);
+ val(btex $-10$ etex);val(btex $-3$ etex);
+val(btex $5$ etex);
+val(btex $10$ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle x-10}$ etex); moins;barre;moins;barre;moins;
+ valBarre(btex 0 etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle x-5}$ etex); moins;barre;moins;valBarre(btex 0 etex);plus;
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle x+10}$ etex); valBarre(btex 0 etex);plus;barre;plus;barre;plus;
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle x+3}$ etex); moins; valBarre(btex 0 etex);plus;barre;plus;
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle Q(x)}$ etex);nonDefBarre;moins;nonDefBarre; plus;valBarre(btex 0 etex);moins;valBarre(btex 0 etex);
+endTableau;
+
+
+
+beginTableau(28)
+newLigneVariables(btex $\displaystyle {x}$ etex);
+ val(btex $-10$ etex);val(btex $-5$ etex);
+val(btex $10$ etex);
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle (x-10) (x+5)}$ etex);
+ plus;valBarre(btex 0 etex);moins;valBarre(btex 0 etex);
+endTableau;
+
+
+
+beginTableau(29)
+newLigneVariables(btex $\displaystyle {x}$ etex);
+ val(btex $-10$ etex);val(btex $2$ etex);
+val(btex $5$ etex);
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle \frac{(x+10)}{(x-5) (x-2)}}$ etex);
+ valBarre(btex 0 etex); plus;nonDefBarre;moins;nonDefBarre;
+endTableau;
+
+
+
+beginTableau(30)
+newLigneVariables(btex $\displaystyle {x}$ etex);
+ val(btex $0$ etex);val(btex $\frac{\pi }{2}$ etex);
+val(btex $\pi $ etex);
+val(btex $\frac{3 \pi }{2}$ etex);
+val(btex $2 \pi $ etex);
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle \tan\left(x\right)}$ etex);
+ valBarre(btex 0 etex); plus;nonDefBarre;moins;valBarre(btex 0 etex);plus;nonDefBarre;moins;valBarre(btex 0 etex);
+endTableau;
+
+ beginTableau(105)
+newLigneVariables(btex $ {x}$ etex);
+ val(btex $-50$ etex);val(btex $-\frac{2}{3}$ etex);
+val(btex $-\frac{\sqrt{5}}{5}$ etex);
+val(btex $\frac{\sqrt{5}}{5}$ etex);
+val(btex $50$ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle 3 x+2}$ etex);
+ moins;
+ valBarre(btex 0 etex);plus;barre;
+ plus;barre;plus;
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle 5 x^{2}-1}$ etex);
+ plus;barre;
+ plus;
+ valBarre(btex 0 etex);moins;valBarre(btex 0 etex);plus;
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle F(x)}$ etex);
+ moins;valBarre(btex 0 etex); plus;valBarre(btex 0 etex);moins;valBarre(btex 0 etex);plus;
+
+endTableau;
+
+ beginTableau(31) newLigneVariables(btex $x$ etex);val(btex $-1$ etex);val(btex $\alpha_1$ etex);val(btex $0$ etex);val(btex $\alpha_2$ etex);val(btex $+\infty $ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);nonDefBarre;moins;valBarre(btex$
+ $ etex);moins; valBarre(btex 0 etex);plus;valBarre(btex $ $ etex);plus;
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);
+nonDefBarre;limDroite(btex $+\infty $ etex,1);valPos(btex $ 2 $ etex,0.5); valPos(btex $-1$
+ etex,0);valPos(btex
+ $ 2 $ etex,0.5);valPos(btex $+\infty $ etex,1);
+endTableau;
+
+beginTableau(32) newLigneVariables(btex $x$ etex);val(btex $\frac{-1}{2}$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $+\infty $ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex); moins; valBarre(btex 0 etex);plus;valBarre(btex $ $ etex);plus;
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);
+valPos(btex $\frac{1}{4}$ etex,1); valPos(btex $0$
+ etex,0);valPos(btex
+ $ 2 $ etex,0.5);valPos(btex $+\infty $ etex,1);
+endTableau;
+
+beginTableau(33) newLigneVariables(btex $x$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $+\infty $ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle @ln'(x)}$ etex);nonDefBarre;plus;valBarre(btex$
+ $ etex);plus;
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle @ln}$ etex);
+nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex $ 2 $ etex,0.5);valPos(btex $+\infty $ etex,1);
+endTableau;
+
+beginTableau(35) newLigneVariables(btex $x$ etex);val(btex $1$ etex);
+val(btex $+\infty $ etex);
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle -@ln'(x)}$ etex); moins;
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle -@ln}$ etex);valPos(btex $0$ etex,1);valPos(btex $-\infty$ etex,0);
+endTableau;
+
+beginTableau(36) newLigneVariables(btex $x$ etex);val(btex $-\pi $ etex);val(btex $\alpha_1$ etex);val(btex $0$ etex);val(btex $\alpha_2$ etex);val(btex $\pi $ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle @cos'(x)}$ etex);valBarre(btex 0 etex);plus;valBarre(btex$
+ $ etex);plus; valBarre(btex 0 etex);moins;valBarre(btex $ $ etex);moins;
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle @cos}$ etex);
+valPos(btex $-1$ etex,0);valPos(btex $ 1/2 $ etex,0.5); valPos(btex $1$
+ etex,1);valPos(btex
+ $ 1/2 $ etex,0.5);valPos(btex $-1$ etex,0);
+endTableau;
+
+beginTableau(37) newLigneVariables(btex $x$ etex);val(btex $0$ etex);
+val(btex $\pi $ etex);
+val(btex $2 \pi $ etex);
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle @cos'(x)}$ etex);valBarre(btex 0 etex);moins; valBarre(btex 0 etex);plus;
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle @cos}$ etex);valPos(btex $1$ etex,1); valPos(btex $-1$
+ etex,0);
+valPos(btex $1$ etex,1);
+endTableau;
+
+beginTableau(38) newLigneVariables(btex $t$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $\frac{\pi }{2}$ etex);val(btex $\pi $ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle @tan'(t)}$ etex); plus;valBarre(btex$
+ $ etex);plus; nonDefBarre;plus;
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle @tan}$ etex);
+valPos(btex $0$ etex,0);valPos(btex $ 7 $ etex,0.5); limGauche(btex $+\infty $ etex,1);nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex $0$ etex,1);
+endTableau;
+
+beginTableau(39) newLigneVariables(btex $t$ etex);val(btex $0$ etex);val(btex $\mathrm{atan}\left(7\right)$ etex);val(btex $\frac{\pi }{2}$ etex);val(btex $\pi $ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle @tan'(t)}$ etex); plus;valBarre(btex$
+ $ etex);plus; nonDefBarre;plus;
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle @tan}$ etex);
+valPos(btex $0$ etex,0);valPos(btex $ 7 $ etex,0.5); limGauche(btex $+\infty $ etex,1);nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex $0$ etex,1);
+endTableau;
+
+beginTableau(40) newLigneVariables(btex $x$ etex);val(btex $-1$ etex);val(btex $\alpha_1$ etex);val(btex $\frac{-1}{2}$ etex);val(btex $\alpha_2$ etex);val(btex $1$ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex); plus;valBarre(btex$
+ $ etex);plus; valBarre(btex 0 etex);moins;valBarre(btex $ $ etex);moins;
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);
+valPos(btex $0$ etex,0);valPos(btex $ 1 $ etex,0.5); valPos(btex $\frac{3 \sqrt{3}}{4}$
+ etex,1);valPos(btex
+ $ 1 $ etex,0.5);valPos(btex $0$ etex,0);
+endTableau;
+
+beginTableau(41) newLigneVariables(btex $x$ etex);val(btex $-1$ etex);val(btex $ -0.839287$ etex);val(btex $\frac{-1}{2}$ etex);val(btex $0$ etex);val(btex $1$ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex); plus;valBarre(btex$
+ $ etex);plus; valBarre(btex 0 etex);moins;valBarre(btex $ $ etex);moins;
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);
+valPos(btex $0$ etex,0);valPos(btex $ 1 $ etex,0.5); valPos(btex $\frac{3 \sqrt{3}}{4}$
+ etex,1);valPos(btex
+ $ 1 $ etex,0.5);valPos(btex $0$ etex,0);
+endTableau;
+
+beginTableau(42) newLigneVariables(btex $x$ etex);val(btex $-1$ etex);
+val(btex $0$ etex);
+val(btex $+\infty $ etex);
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);nonDefBarre;plus; valBarre(btex 0 etex);moins;
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);nonDefBarre;limDroite(btex $-\infty$ etex,0); valPos(btex $0$
+ etex,1);valPos(btex $-\infty$ etex,0);
+endTableau;
+
+ beginTableau(43)
+newLigneVariables(btex $ {x}$ etex);
+ val(btex $-10$ etex);val(btex $\frac{(-\left(\sqrt{5}\right)-3)}{2}$ etex);
+val(btex $-1$ etex);
+val(btex $\frac{(\sqrt{5}-3)}{2}$ etex);
+val(btex $1$ etex);
+val(btex $\frac{3}{2}$ etex);
+val(btex $+\infty $ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle -2 x+3}$ etex);
+ plus;barre;
+ plus;barre;
+ plus;barre;
+ plus;barre;
+ plus;valBarre(btex 0 etex);moins;
+
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle x-1}$ etex);
+ moins;barre;
+ moins;barre;
+ moins;barre;
+ moins;
+ valBarre(btex 0 etex);plus;barre;plus;
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle x+1}$ etex);
+ moins;barre;
+ moins;
+ valBarre(btex 0 etex);plus;barre;
+ plus;barre;
+ plus;barre;plus;
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle x^{2}+3 x+1}$ etex);
+ plus;
+ valBarre(btex 0 etex);moins;barre;
+ moins;
+ valBarre(btex 0 etex);plus;barre;
+ plus;barre;plus;
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle G(x)}$ etex);
+ plus;valBarre(btex 0 etex); moins;valBarre(btex 0 etex);plus;valBarre(btex 0 etex);moins;valBarre(btex 0 etex);plus;valBarre(btex 0 etex);moins;
+
+endTableau;
+
+ beginTableau(44) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);val(btex $-3$ etex);val(btex $\alpha_1$ etex);val(btex $+\infty $ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; valBarre(btex 0 etex);plus;valBarre(btex $ $ etex);plus;
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);
+valPos(btex $-1$ etex,1); valPos(btex $-\left(e^{-4}\right)-1$
+ etex,0);valPos(btex
+ $ 0 $ etex,0.5);valPos(btex $+\infty $ etex,1);
+endTableau;
+
+beginTableau(45) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $+\infty $ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);plus; valBarre(btex 0 etex);moins;valBarre(btex $ $ etex);moins;
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);
+valPos(btex $1$ etex,0); valPos(btex $2$
+ etex,1);valPos(btex
+ $ 0 $ etex,0.5);valPos(btex $-\infty$ etex,0);
+endTableau;
+
+beginTableau(47) 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); plus; valBarre(btex 0 etex);moins;
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $0$ etex,0); valPos(btex $\ln\left(\frac{(e^{1}+1)}{e^{1}}\right)$
+ etex,1);valPos(btex $0$ etex,0);
+endTableau;
+
+beginTableau(48) newLigneVariables(btex $x$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $\pi $ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex); moins;valBarre(btex$
+ $ etex);moins;
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);
+valPos(btex $1$ etex,1);valPos(btex $ 0 $ etex,0.5);valPos(btex $-\pi -1$ etex,0);
+endTableau;
+
+beginTableau(49) newLigneVariables(btex $x$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $\frac{1}{e^{\frac{-1}{2}}}$ etex);val(btex $\alpha_2$ etex);val(btex $+\infty $ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);nonDefBarre;plus;valBarre(btex$
+ $ etex);plus; valBarre(btex 0 etex);moins;valBarre(btex $ $ etex);moins;
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);
+nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex $ -1 $ etex,0.5); valPos(btex $\frac{1}{4}$
+ etex,1);valPos(btex
+ $ -1 $ etex,0.5);valPos(btex $-\infty$ etex,0);
+endTableau;
+
+beginTableau(50) newLigneVariables(btex $x$ etex);val(btex $0$ etex);val(btex $e^{\frac{(-\left(\sqrt{5}\right)+1)}{2}}$ etex);val(btex $\frac{1}{e^{\frac{-1}{2}}}$ etex);val(btex $e^{\frac{(\sqrt{5}+1)}{2}}$ etex);val(btex $+\infty $ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);nonDefBarre;plus;valBarre(btex$
+ $ etex);plus; valBarre(btex 0 etex);moins;valBarre(btex $ $ etex);moins;
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);
+nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex $ -1 $ etex,0.5); valPos(btex $\frac{1}{4}$
+ etex,1);valPos(btex
+ $ -1 $ etex,0.5);valPos(btex $-\infty$ etex,0);
+endTableau;
+
+
+
+beginTableau(51)
+newLigneVariables(btex $\displaystyle {x}$ etex);
+ val(btex $-10$ etex);val(btex $10$ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle (x-10) (x+10)}$ etex);
+ valBarre(btex 0 etex);moins;
+ valBarre(btex 0 etex);
+endTableau;
+
+beginTableau(52) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);
+val(btex $-\left(\sqrt{2}\right)$ etex);
+val(btex $-1$ etex);
+val(btex $1$ etex);
+val(btex $\sqrt{2}$ etex);
+val(btex $+\infty $ etex);
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; valBarre(btex 0 etex);plus;debutNonDefStrict;finNonDefStrict;moins;valBarre(btex 0 etex);plus;
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $+\infty $ etex,1); valPos(btex$-2$etex,0);limGauche(btex $0$ etex,1);debutNonDef;finNonDef;limDroite(btex $0$ etex,1);valPos(btex$-2$etex,0);valPos(btex $+\infty $ etex,1);
+endTableau;
+
+beginTableau(53) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);
+val(btex $-1$ etex);
+val(btex $1$ etex);
+val(btex $+\infty $ etex);
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; debutNonDefStrict;finNonDefStrict;plus;
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $+\infty $ etex,1); limGauche(btex $-\infty$ etex,0);debutNonDefStrict;finNonDefStrict;limDroite(btex $-\infty$ etex,0);valPos(btex $+\infty $ etex,1);
+endTableau;
+
+beginTableau(54) newLigneVariables(btex $t$ etex);val(btex $0$ etex);
+val(btex $\frac{\pi }{8}$ etex);
+val(btex $\frac{\pi }{3}$ etex);
+val(btex $\frac{3 \pi }{8}$ etex);
+val(btex $\frac{\pi }{2}$ etex);
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle x'(t)}$ etex);valBarre(btex $0$ etex);moins;valBarre(btex $-3 \sin\left(\frac{3 \pi }{8}\right)$ etex);moins;valBarre(btex $0$ etex);plus;valBarre(btex $3 \sin\left(\frac{\pi }{8}\right)$ etex);plus;valBarre(btex $3$ etex);
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle x}$ etex);valPos(btex $1$ etex,1);valPos(btex $\cos\left(\frac{3 \pi }{8}\right)$
+ etex,0.5);valPos(btex $-1$
+ etex,0);
+valPos(btex $-\left(\cos\left(\frac{\pi }{8}\right)\right)$
+ etex,0.5);valPos(btex $0$ etex,1);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle y'(t)}$ etex);valBarre(btex $4$ etex);plus;valBarre(btex $0$ etex);moins;valBarre(btex $-2$ etex);moins;valBarre(btex $0$ etex);plus;valBarre(btex $4$ etex);
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle y}$ etex);valPos(btex $0$ etex,0);valPos(btex $1$
+ etex,1);valPos(btex $\frac{(-\left(\sqrt{3}\right))}{2}$
+ etex,0.5);valPos(btex $-1$
+ etex,0);
+valPos(btex $0$ etex,1);
+endTableau;
+
+beginTableau(55) newLigneVariables(btex $t$ etex);val(btex $0$ etex);
+val(btex $\frac{\pi }{3}$ etex);
+val(btex $\pi $ etex);
+val(btex $\frac{5 \pi }{3}$ etex);
+val(btex $2 \pi $ etex);
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle x'(t)}$ etex);valBarre(btex $-1$ etex);moins;valBarre(btex $0$ etex);plus;valBarre(btex $3$ etex);plus;valBarre(btex $0$ etex);moins;valBarre(btex $-1$ etex);
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle x}$ etex);valPos(btex $0$ etex,1);valPos(btex $\frac{(\pi -3 \sqrt{3})}{3}$
+ etex,0);
+valPos(btex $\pi $
+ etex,0.5);valPos(btex $\frac{(5 \pi +3 \sqrt{3})}{3}$
+ etex,1);valPos(btex $2 \pi $ etex,0);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle y'(t)}$ etex);valBarre(btex $0$ etex);moins;valBarre(btex $-\left(\sqrt{3}\right)$ etex);moins;valBarre(btex $0$ etex);plus;valBarre(btex $\sqrt{3}$ etex);plus;valBarre(btex $0$ etex);
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle y}$ etex);valPos(btex $1$ etex,1);valPos(btex $0$
+ etex,0.5);valPos(btex $-3$
+ etex,0);
+valPos(btex $0$
+ etex,0.5);valPos(btex $1$ etex,1);
+endTableau;
+
+beginTableau(56) newLigneVariables(btex $t$ etex);val(btex $0$ etex);
+val(btex $\frac{\pi }{8}$ etex);
+val(btex $\frac{\pi }{6}$ etex);
+val(btex $\frac{3 \pi }{8}$ etex);
+val(btex $\frac{\pi }{2}$ etex);
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(t)}$ etex);valBarre(btex $3$ etex);plus;valBarre(btex $3 \cos\left(\frac{3 \pi }{8}\right)$ etex);plus;valBarre(btex $0$ etex);moins;valBarre(btex $-3 \cos\left(\frac{\pi }{8}\right)$ etex);moins;valBarre(btex $0$ etex);
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $0$ etex,0);valPos(btex $\sin\left(\frac{3 \pi }{8}\right)$
+ etex,0.5);valPos(btex $1$
+ etex,1);valPos(btex $-\left(\sin\left(\frac{\pi }{8}\right)\right)$
+ etex,0.5);valPos(btex $-1$ etex,0);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle g'(t)}$ etex);valBarre(btex $4$ etex);plus;valBarre(btex $0$ etex);moins;valBarre(btex $-2$ etex);moins;valBarre(btex $0$ etex);plus;valBarre(btex $4$ etex);
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle g}$ etex);valPos(btex $0$ etex,0);valPos(btex $1$
+ etex,1);valPos(btex $\frac{\sqrt{3}}{2}$
+ etex,0.5);valPos(btex $-1$
+ etex,0);
+valPos(btex $0$ etex,1);
+endTableau;
+
+ beginTableau(57)
+newLigneVariables(btex $ {x}$ etex);
+ val(btex $0$ etex);val(btex $\frac{\pi }{3}$ etex);
+val(btex $\frac{7 \pi }{6}$ etex);
+val(btex $\frac{5 \pi }{3}$ etex);
+val(btex $\frac{11 \pi }{6}$ etex);
+val(btex $2 \pi $ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle \cos\left(x\right)+\frac{1}{-2}}$ etex);
+ plus;
+ valBarre(btex 0 etex);moins;barre;
+ moins;
+ valBarre(btex 0 etex);plus;barre;plus;
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle \sin\left(x\right)+\frac{1}{2}}$ etex);
+ plus;barre;
+ plus;
+ valBarre(btex 0 etex);moins;barre;
+ moins;valBarre(btex 0 etex);plus;
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f (x)}$ etex);
+ plus;valBarre(btex 0 etex); moins;valBarre(btex 0 etex);plus;valBarre(btex 0 etex);moins;valBarre(btex 0 etex);plus;
+
+endTableau;
+
+ \ No newline at end of file