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authorManuel Pégourié-Gonnard <mpg@elzevir.fr>2008-06-02 14:45:58 +0000
committerManuel Pégourié-Gonnard <mpg@elzevir.fr>2008-06-02 14:45:58 +0000
commit6c28f0837ce15fa56ac7ebdb5106c18457c4ad3a (patch)
tree504592bdd9b329fcaec71049ced6fbc3077ad656 /Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.mp
parent7b1f9f0f229b2167fb139083f23d7ca61b43c629 (diff)
tablor update 2008/06/02 (still v2.08)
git-svn-id: svn://tug.org/texlive/trunk@8485 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.mp')
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.mp206
1 files changed, 103 insertions, 103 deletions
diff --git a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.mp b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.mp
index 162928507bb..2c18189dbe8 100644
--- a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.mp
+++ b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.mp
@@ -17,21 +17,21 @@ newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);va
valPos(btex $49$ etex,1);
endTableau;
-beginTableau(1) newLigneVariables(btex $x$ etex);val(btex $\mbox{-}\infty $ etex);
+beginTableau(1) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);
val(btex $0$ etex);
-val(btex $\mbox{+}\infty $ 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 $\mbox{+}\infty $ etex,1); valPos(btex $0$
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $+\infty $ etex,1); valPos(btex $0$
etex,0);
-valPos(btex $\mbox{+}\infty $ etex,1);
+valPos(btex $+\infty $ etex,1);
endTableau;
-beginTableau(2) newLigneVariables(btex $x$ etex);val(btex $\mbox{-}\infty $ etex);
+beginTableau(2) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);
val(btex $0$ etex);
-val(btex $\mbox{+}\infty $ etex);
+val(btex $+\infty $ etex);
newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; valBarre(btex 0 etex);plus;
endTableau;
@@ -40,71 +40,71 @@ beginTableau(3) newLigneVariables(btex $t$ etex);val(btex $-10$ etex);
val(btex $-1$ etex);
val(btex $0$ etex);
val(btex $1$ etex);
-val(btex $\mbox{+}\infty $ 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
- $\mbox{+}\infty $
+ $+\infty $
etex,1);nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex $0$
etex,1);limGauche(btex
$-\infty$
- etex,0);nonDefBarre;limDroite(btex $\mbox{+}\infty $ etex,1);valPos(btex $1$ etex,0);
+ etex,0);nonDefBarre;limDroite(btex $+\infty $ etex,1);valPos(btex $1$ etex,0);
endTableau;
-beginTableau(4) newLigneVariables(btex $x$ etex);val(btex $\mbox{-}\infty $ etex);
+beginTableau(4) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);
val(btex $-1$ etex);
val(btex $1$ etex);
-val(btex $\mbox{+}\infty $ etex);
+val(btex $+\infty $ etex);
newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; debutNonDef;finNonDef;plus;
-newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $\mbox{+}\infty $ etex,1); limGauche(btex $0$ etex,0);debutNonDef;finNonDef;limDroite(btex $0$ etex,0);valPos(btex $\mbox{+}\infty $ etex,1);
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ 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(5) newLigneVariables(btex $x$ etex);val(btex $\mbox{-}\infty $ etex);
+beginTableau(5) 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 $\mbox{+}\infty $ etex);
+val(btex $+\infty $ etex);
newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; debutNonDef;finNonDef;plus;valBarre(btex 0 etex);moins;debutNonDef;finNonDef;plus;
-newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $\mbox{+}\infty $ etex,1); limGauche(btex $-\infty$ etex,0);debutNonDef;finNonDef;limDroite(btex $-\infty$ etex,0);valPos(btex$\mbox{ln}\left(\frac{441}{16}\right)$etex,1);limGauche(btex $-\infty$ etex,0);debutNonDef;finNonDef;limDroite(btex $-\infty$ etex,0);valPos(btex $\mbox{+}\infty $ etex,1);
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $+\infty $ etex,1); limGauche(btex $-\infty$ etex,0);debutNonDef;finNonDef;limDroite(btex $-\infty$ etex,0);valPos(btex$\ln\left(\frac{441}{16}\right)$etex,1);limGauche(btex $-\infty$ etex,0);debutNonDef;finNonDef;limDroite(btex $-\infty$ etex,0);valPos(btex $+\infty $ etex,1);
endTableau;
-beginTableau(6) 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 $\mbox{+}\infty $ etex);
+beginTableau(6) 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 $\mbox{+}\infty $ etex,1);nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex $0$
- etex,1);limGauche(btex $-\infty$ etex,0);nonDefBarre;limDroite(btex $\mbox{+}\infty $ etex,1);valPos(btex
+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(7) 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 $\mbox{+}\infty $ etex);
+beginTableau(7) 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 $\mbox{+}\infty $ etex,1);nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex
+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 $\mbox{+}\infty $ etex,1);valPos(btex $1$ etex,0);
+ limGauche(btex $-\infty$ etex,0);nonDefBarre;limDroite(btex $+\infty $ etex,1);valPos(btex $1$ etex,0);
endTableau;
beginTableau(9) newLigneVariables(btex $x$ etex);val(btex $0$ etex);
val(btex $ 0.212584$ etex);
val(btex $ 0.584635$ etex);
-val(btex $\mbox{+}\infty $ etex);
+val(btex $+\infty $ etex);
newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle g'(x)}$ etex);nonDefBarre;plus; valBarre(btex 0 etex);moins;valBarre(btex 0 etex);plus;
newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle g}$ etex);nonDefBarre;limDroite(btex $-\infty$ etex,0); valPos(btex $ -2.818394$
etex,1);valPos(btex $ -2.944288$
etex,0);
-valPos(btex $\mbox{+}\infty $ etex,1);
+valPos(btex $+\infty $ etex,1);
endTableau;
@@ -120,13 +120,13 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {(-2x+3)(-x+5)}}$ etex
endTableau;
beginTableau(11)
newLigneVariables(btex $ {x}$ etex);
- val(btex $\mbox{-}\infty $ etex);val(btex $\mbox{-}\left(\sqrt{2}\right)$ 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 $\mbox{+}\infty $ etex);
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle -\left(2\cdot \mbox{x}\right)\mbox{+}3}$ etex);
+val(btex $+\infty $ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle -\left(2x\right)+3}$ etex);
plus;barre;
plus;barre;
plus;barre;
@@ -134,28 +134,28 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle -\left(2\cdot \mbox{x}
plus;valBarre(btex 0 etex);moins;
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle (\mbox{x})^{2}-1}$ etex);
+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 $\hbox{ Signe de }\atop{\displaystyle (\mbox{x})^{2}\mbox{+}1}$ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle x^{2}+1}$ etex);
plus;barre;
plus;barre;
plus;barre;
plus;barre;
plus;barre;plus;
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle \mbox{x}-1}$ etex);
+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 $\hbox{ Signe de }\atop{\displaystyle (\mbox{x})^{2}-2}$ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle x^{2}-2}$ etex);
plus;
valBarre(btex 0 etex);moins;barre;
moins;barre;
@@ -171,11 +171,11 @@ endTableau;
newLigneVariables(btex $ {x}$ etex);
val(btex $-15$ etex);val(btex $-10$ etex);
val(btex $10$ etex);
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle \mbox{x}-10}$ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle x-10}$ etex);
moins;barre;moins;
valBarre(btex 0 etex);
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle \mbox{x}\mbox{+}10}$ 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);
@@ -186,33 +186,33 @@ endTableau;
beginTableau(13)
newLigneVariables(btex $ {x}$ etex);
- val(btex $\mbox{-}\infty $ etex);val(btex $-4$ 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 $\mbox{+}\infty $ etex);
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle -\left(2\cdot \mbox{x}\right)\mbox{+}3}$ etex);
+val(btex $+\infty $ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle -\left(2x\right)+3}$ etex);
plus;barre;
plus;barre;
plus;
valBarre(btex 0 etex);moins;barre;
moins;barre;moins;
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle -\left(4\cdot \mbox{x}\right)\mbox{+}5}$ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle -\left(4x\right)+5}$ etex);
plus;barre;
plus;
valBarre(btex 0 etex);moins;barre;
moins;barre;
moins;barre;moins;
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle (\mbox{x})^{2}-16}$ etex);
+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 $\hbox{ Signe de }\atop{\displaystyle \mbox{x}-2}$ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle x-2}$ etex);
moins;barre;
moins;barre;
moins;barre;
@@ -225,13 +225,13 @@ endTableau;
beginTableau(14)
newLigneVariables(btex $ {x}$ etex);
- val(btex $\mbox{-}\infty $ etex);val(btex $-10$ etex);
+ val(btex $-\infty $ etex);val(btex $-10$ etex);
val(btex $10$ etex);
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle \mbox{x}-10}$ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle x-10}$ etex);
moins;barre;moins;
valBarre(btex 0 etex);
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle \mbox{x}\mbox{+}10}$ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle x+10}$ etex);
moins;valBarre(btex 0 etex);plus;
newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle Q(x)}$ etex);
plus;nonDefBarre; moins;
@@ -244,22 +244,22 @@ beginTableau(15)
newLigneVariables(btex $\displaystyle {x}$ etex);
val(btex $-10$ etex);val(btex $-5$ etex);
val(btex $10$ etex);
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle (\mbox{x}-10)\cdot (\mbox{x}\mbox{+}5)}$ 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(105)
newLigneVariables(btex $ {x}$ etex);
val(btex $-50$ etex);val(btex $-\frac{2}{3}$ etex);
-val(btex $\mbox{-}\frac{\sqrt{5}}{5} $ etex);
-val(btex $\frac{\sqrt{5}}{5} $ etex);
+val(btex $-\frac{\sqrt{5}}{5}$ etex);
+val(btex $\frac{\sqrt{5}}{5}$ etex);
val(btex $50$ etex);
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle 3\cdot \mbox{x}\mbox{+}2}$ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle 3x+2}$ etex);
moins;
valBarre(btex 0 etex);plus;barre;
plus;barre;plus;
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle 5\cdot \mbox{x}^{2}-1}$ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle 5x^{2}-1}$ etex);
plus;barre;
plus;
valBarre(btex 0 etex);moins;valBarre(btex 0 etex);plus;
@@ -269,37 +269,37 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle F(x)}$ etex);
endTableau;
- beginTableau(16) newLigneVariables(btex $x$ etex);val(btex $-1$ etex);val(btex $\alpha_1$ etex);val(btex $0$ etex);val(btex $\alpha_2$ etex);val(btex $\mbox{+}\infty $ etex);
+ beginTableau(16) 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 $\mbox{+}\infty $ etex,1);valPos(btex $ 2 $ etex,0.5); valPos(btex $-1$
+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 $\mbox{+}\infty $ etex,1);
+ $ 2 $ etex,0.5);valPos(btex $+\infty $ etex,1);
endTableau;
-beginTableau(17) newLigneVariables(btex $x$ etex);val(btex $\frac{-1}{2}$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $\mbox{+}\infty $ etex);
+beginTableau(17) 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 $\mbox{+}\infty $ etex,1);
+ $ 2 $ etex,0.5);valPos(btex $+\infty $ etex,1);
endTableau;
-beginTableau(18) newLigneVariables(btex $x$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $\mbox{+}\infty $ etex);
+beginTableau(18) newLigneVariables(btex $x$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $+\infty $ etex);
newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);nonDefBarre;plus;valBarre(btex$ $ etex);plus;
newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);
-nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex $ 2 $ etex,0.5);valPos(btex $\mbox{+}\infty $ etex,1);
+nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex $ 2 $ etex,0.5);valPos(btex $+\infty $ etex,1);
endTableau;
beginTableau(20) newLigneVariables(btex $x$ etex);val(btex $1$ etex);
-val(btex $\mbox{+}\infty $ etex);
+val(btex $+\infty $ etex);
newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex); moins;
newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $0$ etex,1);valPos(btex $-\infty$ etex,0);
endTableau;
-beginTableau(21) newLigneVariables(btex $x$ etex);val(btex $\mbox{-}\pi $ etex);val(btex $\alpha_1$ etex);val(btex $0$ etex);val(btex $\alpha_2$ etex);val(btex $\pi $ etex);
+beginTableau(21) 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 $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);valBarre(btex 0 etex);moins;valBarre(btex$ $ etex);moins; 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 $ 1/2 $ etex,0.5); valPos(btex $1$
@@ -309,7 +309,7 @@ endTableau;
beginTableau(22) newLigneVariables(btex $x$ etex);val(btex $0$ etex);
val(btex $\pi $ etex);
-val(btex $2\cdot \pi $ etex);
+val(btex $2\pi $ etex);
newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);valBarre(btex 0 etex);moins; valBarre(btex 0 etex);plus;
newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $1$ etex,1); valPos(btex $-1$
@@ -321,7 +321,7 @@ beginTableau(23) newLigneVariables(btex $t$ etex);val(btex $0$ etex);val(btex $\
newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle h'(t)}$ etex); plus;valBarre(btex$ $ etex);plus; nonDefBarre;plus;
newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle h}$ etex);
-valPos(btex $0$ etex,0);valPos(btex $ 7 $ etex,0.5); limGauche(btex $\mbox{+}\infty $ etex,1);nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex $0$ etex,1);
+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(24) 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);
@@ -334,7 +334,7 @@ endTableau;
beginTableau(25) newLigneVariables(btex $x$ etex);val(btex $-1$ etex);
val(btex $0$ etex);
-val(btex $\mbox{+}\infty $ 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 $0$
@@ -344,13 +344,13 @@ endTableau;
beginTableau(26)
newLigneVariables(btex $ {x}$ etex);
- val(btex $-10$ etex);val(btex $-\left(\frac{1}{2} \times \sqrt{5}\right)\mbox{+}\frac{-3}{2}$ etex);
+ val(btex $-10$ etex);val(btex $-\left(\frac{1}{2} \times \sqrt{5}\right)+\frac{-3}{2}$ etex);
val(btex $-1$ etex);
-val(btex $\frac{1}{2} \times \sqrt{5}\mbox{+}\frac{-3}{2}$ etex);
+val(btex $\frac{1}{2} \times \sqrt{5}+\frac{-3}{2}$ etex);
val(btex $1$ etex);
val(btex $\frac{3}{2}$ etex);
-val(btex $\mbox{+}\infty $ etex);
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle -\left(2\cdot \mbox{x}\right)\mbox{+}3}$ etex);
+val(btex $+\infty $ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle -\left(2x\right)+3}$ etex);
plus;barre;
plus;barre;
plus;barre;
@@ -358,21 +358,21 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle -\left(2\cdot \mbox{x}
plus;valBarre(btex 0 etex);moins;
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle \mbox{x}-1}$ etex);
+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 $\hbox{ Signe de }\atop{\displaystyle \mbox{x}\mbox{+}1}$ etex);
+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 $\hbox{ Signe de }\atop{\displaystyle (\mbox{x})^{2}\mbox{+}3\cdot \mbox{x}\mbox{+}1}$ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle x^{2}+3x+1}$ etex);
plus;
valBarre(btex 0 etex);moins;barre;
moins;
@@ -384,15 +384,15 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle G(x)}$ etex);
endTableau;
- beginTableau(27) newLigneVariables(btex $x$ etex);val(btex $\mbox{-}\infty $ etex);val(btex $-3$ etex);val(btex $\alpha_1$ etex);val(btex $\mbox{+}\infty $ etex);
+ beginTableau(27) 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 $\mbox{+}\infty $ etex,1);
+ $ 0 $ etex,0.5);valPos(btex $+\infty $ etex,1);
endTableau;
-beginTableau(28) newLigneVariables(btex $x$ etex);val(btex $\mbox{-}\infty $ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $\mbox{+}\infty $ etex);
+beginTableau(28) 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 $2$
@@ -402,10 +402,10 @@ endTableau;
beginTableau(30) newLigneVariables(btex $x$ etex);val(btex $0$ etex);
val(btex $1$ etex);
-val(btex $\mbox{+}\infty $ 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 $\mbox{ln}\left(\frac{(e^{1}\mbox{+}1)}{e^{1}}\right)$
+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;
@@ -416,7 +416,7 @@ 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(32) newLigneVariables(btex $x$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $e^{\frac{1}{2}}$ etex);val(btex $\alpha_2$ etex);val(btex $\mbox{+}\infty $ etex);
+beginTableau(32) newLigneVariables(btex $x$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $e^{\frac{1}{2}}$ 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 $\frac{1}{4}$
@@ -429,41 +429,41 @@ endTableau;
beginTableau(33)
newLigneVariables(btex $\displaystyle {x}$ etex);
val(btex $-10$ etex);val(btex $10$ etex);
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle (\mbox{x}-10)\cdot (\mbox{x}\mbox{+}10)}$ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle (x-10)(x+10)}$ etex);
valBarre(btex 0 etex);plus;
valBarre(btex 0 etex);
endTableau;
-beginTableau(34) newLigneVariables(btex $x$ etex);val(btex $\mbox{-}\infty $ etex);
-val(btex $\mbox{-}\left(\sqrt{2}\right)$ etex);
+beginTableau(34) 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 $\mbox{+}\infty $ etex);
+val(btex $+\infty $ etex);
newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; valBarre(btex 0 etex);plus;debutNonDef;finNonDef;moins;valBarre(btex 0 etex);plus;
-newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $\mbox{+}\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 $\mbox{+}\infty $ etex,1);
+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(35) newLigneVariables(btex $x$ etex);val(btex $\mbox{-}\infty $ etex);
+beginTableau(35) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);
val(btex $-1$ etex);
val(btex $1$ etex);
-val(btex $\mbox{+}\infty $ etex);
+val(btex $+\infty $ etex);
newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; debutNonDef;finNonDef;plus;
-newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $\mbox{+}\infty $ etex,1); limGauche(btex $-\infty$ etex,0);debutNonDef;finNonDef;limDroite(btex $-\infty$ etex,0);valPos(btex $\mbox{+}\infty $ etex,1);
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $+\infty $ etex,1); limGauche(btex $-\infty$ etex,0);debutNonDef;finNonDef;limDroite(btex $-\infty$ etex,0);valPos(btex $+\infty $ etex,1);
endTableau;
-beginTableau(36) newLigneVariables(btex $x$ etex);val(btex $\mbox{-}\infty $ etex);
+beginTableau(36) 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 $\mbox{+}\infty $ etex);
+val(btex $+\infty $ etex);
newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; debutNonDef;finNonDef;plus;valBarre(btex 0 etex);moins;debutNonDef;finNonDef;plus;
-newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $\mbox{+}\infty $ etex,1); limGauche(btex $\sqrt{35}$ etex,0);debutNonDef;finNonDef;limDroite(btex $\sqrt{15}$ etex,0);valPos(btex$\sqrt{21}$etex,1);limGauche(btex $\sqrt{15}$ etex,0);debutNonDef;finNonDef;limDroite(btex $\sqrt{35}$ etex,0);valPos(btex $\mbox{+}\infty $ etex,1);
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $+\infty $ etex,1); limGauche(btex $\sqrt{35}$ etex,0);debutNonDef;finNonDef;limDroite(btex $\sqrt{15}$ etex,0);valPos(btex$\sqrt{21}$etex,1);limGauche(btex $\sqrt{15}$ etex,0);debutNonDef;finNonDef;limDroite(btex $\sqrt{35}$ etex,0);valPos(btex $+\infty $ etex,1);
endTableau;
beginTableau(37) newLigneVariables(btex $x$ etex);val(btex $-5$ etex);
@@ -476,24 +476,24 @@ valPos(btex $242$ etex,1);
endTableau;
beginTableau(38) newLigneVariables(btex $x$ etex);val(btex $-20$ etex);
-val(btex $-\left(\frac{1}{9} \times \sqrt{7}\right)\mbox{+}\frac{5}{9}$ etex);
-val(btex $\frac{1}{9} \times \sqrt{7}\mbox{+}\frac{5}{9}$ etex);
+val(btex $-\left(\frac{1}{9} \times \sqrt{7}\right)+\frac{5}{9}$ etex);
+val(btex $\frac{1}{9} \times \sqrt{7}+\frac{5}{9}$ etex);
val(btex $20$ etex);
-newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $-26047$ etex,0); valPos(btex $\frac{14}{243} \times \sqrt{7}\mbox{+}\frac{-1681}{243}$
- etex,1);valPos(btex $-\left(\frac{14}{243} \times \sqrt{7}\right)\mbox{+}\frac{-1681}{243}$
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $-26047$ etex,0); valPos(btex $\frac{14}{243} \times \sqrt{7}+\frac{-1681}{243}$
+ etex,1);valPos(btex $-\left(\frac{14}{243} \times \sqrt{7}\right)+\frac{-1681}{243}$
etex,0);
valPos(btex $22033$ etex,1);
endTableau;
beginTableau(39) newLigneVariables(btex $x$ etex);val(btex $-20$ etex);
-val(btex $-\left(\frac{1}{9} \times \sqrt{7}\right)\mbox{+}\frac{5}{9}$ etex);
-val(btex $\frac{1}{9} \times \sqrt{7}\mbox{+}\frac{5}{9}$ etex);
+val(btex $-\left(\frac{1}{9} \times \sqrt{7}\right)+\frac{5}{9}$ etex);
+val(btex $\frac{1}{9} \times \sqrt{7}+\frac{5}{9}$ etex);
val(btex $20$ etex);
-newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $26047$ etex,1); valPos(btex $-\left(\frac{14}{243} \times \sqrt{7}\right)\mbox{+}\frac{1681}{243}$
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $26047$ etex,1); valPos(btex $-\left(\frac{14}{243} \times \sqrt{7}\right)+\frac{1681}{243}$
etex,0);
-valPos(btex $\frac{14}{243} \times \sqrt{7}\mbox{+}\frac{1681}{243}$
+valPos(btex $\frac{14}{243} \times \sqrt{7}+\frac{1681}{243}$
etex,1);valPos(btex $-22033$ etex,0);
endTableau;
@@ -504,7 +504,7 @@ beginTableau(40)
newLigneVariables(btex $\displaystyle {x}$ etex);
val(btex $-20$ etex);val(btex $ 1.942052$ etex);
val(btex $20$ etex);
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle -\left(3\cdot (\mbox{x})^{3}\right)\mbox{+}5\cdot (\mbox{x})^{2}-\left(2\cdot \mbox{x}\right)\mbox{+}7}$ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle -\left(3x^{3}\right)+5x^{2}-\left(2x\right)+7}$ etex);
plus;valBarre(btex 0 etex); moins;
endTableau;
@@ -515,12 +515,12 @@ beginTableau(41)
newLigneVariables(btex $\displaystyle {x}$ etex);
val(btex $-20$ etex);val(btex $ 1.942052$ etex);
val(btex $20$ etex);
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle 3\cdot (\mbox{x})^{3}-\left(5\cdot (\mbox{x})^{2}\right)\mbox{+}2\cdot \mbox{x}-7}$ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle 3x^{3}-\left(5x^{2}\right)+2x-7}$ etex);
moins;valBarre(btex 0 etex); plus;
endTableau;
-beginTableau(42) newLigneVariables(btex $x$ etex);val(btex $\mbox{-}\infty $ etex);val(btex $ 0.000000$ etex);val(btex $\alpha_1$ etex);val(btex $\mbox{+}\infty $ etex);
+beginTableau(42) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);val(btex $ 0.000000$ 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 $\frac{1}{2}$ etex,0); valPos(btex $ 1.000000$
@@ -528,9 +528,9 @@ valPos(btex $\frac{1}{2}$ etex,0); valPos(btex $ 1.000000$
$ 0 $ etex,0.5);valPos(btex $-\infty$ etex,0);
endTableau;
-beginTableau(43) newLigneVariables(btex $x$ etex);val(btex $\mbox{-}\infty $ etex);
+beginTableau(43) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);
val(btex $ 0.639232$ etex);
-val(btex $\mbox{+}\infty $ 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 $-\infty$ etex,0); valPos(btex $ 0.967397$
@@ -542,15 +542,15 @@ end
beginTableau(105)
newLigneVariables(btex $ {x}$ etex);
val(btex $-50$ etex);val(btex $-\frac{2}{3}$ etex);
-val(btex $\mbox{-}\frac{\sqrt{5}}{5} $ etex);
-val(btex $\frac{\sqrt{5}}{5} $ etex);
+val(btex $-\frac{\sqrt{5}}{5}$ etex);
+val(btex $\frac{\sqrt{5}}{5}$ etex);
val(btex $50$ etex);
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle 3\cdot \mbox{x}\mbox{+}2}$ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle 3x+2}$ etex);
moins;
valBarre(btex 0 etex);plus;barre;
plus;barre;plus;
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle 5\cdot \mbox{x}^{2}-1}$ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle 5x^{2}-1}$ etex);
plus;barre;
plus;
valBarre(btex 0 etex);moins;valBarre(btex 0 etex);plus;
@@ -564,15 +564,15 @@ endTableau;
beginTableau(105)
newLigneVariables(btex $ {x}$ etex);
val(btex $-50$ etex);val(btex $-\frac{2}{3}$ etex);
-val(btex $\mbox{-}\frac{\sqrt{5}}{5} $ etex);
-val(btex $\frac{\sqrt{5}}{5} $ etex);
+val(btex $-\frac{\sqrt{5}}{5}$ etex);
+val(btex $\frac{\sqrt{5}}{5}$ etex);
val(btex $50$ etex);
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle 3\cdot \mbox{x}\mbox{+}2}$ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle 3x+2}$ etex);
moins;
valBarre(btex 0 etex);plus;barre;
plus;barre;plus;
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle 5\cdot \mbox{x}^{2}-1}$ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle 5x^{2}-1}$ etex);
plus;barre;
plus;
valBarre(btex 0 etex);moins;valBarre(btex 0 etex);plus;