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-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.mp145
1 files changed, 73 insertions, 72 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 c269ad4ae0d..162928507bb 100644
--- a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.mp
+++ b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.mp
@@ -12,7 +12,7 @@ beginTableau(0) 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 $0$
+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;
@@ -22,7 +22,7 @@ val(btex $0$ etex);
val(btex $\mbox{+}\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 $\mbox{+}\infty $ etex,1); valPos(btex $0$
etex,0);
valPos(btex $\mbox{+}\infty $ etex,1);
endTableau;
@@ -43,7 +43,7 @@ val(btex $1$ etex);
val(btex $\mbox{+}\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
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle g}$ etex);valPos(btex $\frac{100}{99}$ etex,0); limGauche(btex
$\mbox{+}\infty $
etex,1);nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex $0$
etex,1);limGauche(btex
@@ -58,7 +58,7 @@ val(btex $1$ etex);
val(btex $\mbox{+}\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 $\mbox{+}\infty $ etex,1); limGauche(btex $0$ etex,0);debutNonDef;finNonDef;limDroite(btex $0$ etex,0);valPos(btex $\mbox{+}\infty $ etex,1);
endTableau;
beginTableau(5) newLigneVariables(btex $x$ etex);val(btex $\mbox{-}\infty $ etex);
@@ -70,13 +70,13 @@ val(btex $6$ etex);
val(btex $\mbox{+}\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 $\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);
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);
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);
+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
$ 10 $ etex,0.5);
@@ -86,7 +86,7 @@ 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);
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);
+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
$ -1 $ etex,0.5);
valPos(btex $0$
@@ -101,7 +101,7 @@ val(btex $ 0.584635$ etex);
val(btex $\mbox{+}\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$
+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);
@@ -113,9 +113,10 @@ endTableau;
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;
+
+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(11)
newLigneVariables(btex $ {x}$ etex);
@@ -125,7 +126,7 @@ 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);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle -\left(2\cdot \mbox{x}\right)\mbox{+}3}$ etex);
plus;barre;
plus;barre;
plus;barre;
@@ -133,35 +134,35 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {-\left(2\cdot \mbox
plus;valBarre(btex 0 etex);moins;
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {(\mbox{x})^{2}-1}}$ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle (\mbox{x})^{2}-1}$ 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 $\hbox{ Signe de }\atop{\displaystyle (\mbox{x})^{2}\mbox{+}1}$ 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 $\hbox{ Signe de }\atop{\displaystyle \mbox{x}-1}$ 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 $\hbox{ Signe de }\atop{\displaystyle (\mbox{x})^{2}-2}$ etex);
plus;
valBarre(btex 0 etex);moins;barre;
moins;barre;
moins;
valBarre(btex 0 etex);plus;barre;plus;
- newLigneSignes(btex $\hbox{ Signe du }\atop{{\displaystyle \rm produit}}$ etex);
+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;
@@ -170,14 +171,14 @@ 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 $\hbox{ Signe de }\atop{\displaystyle \mbox{x}-10}$ etex);
moins;barre;moins;
valBarre(btex 0 etex);
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {\mbox{x}\mbox{+}10}}$ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle \mbox{x}\mbox{+}10}$ etex);
moins;valBarre(btex 0 etex);plus;
- newLigneSignes(btex $\hbox{ Signe du }\atop{{\displaystyle \rm produit}}$ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f(x)}$ etex);
plus;valBarre(btex 0 etex); moins;
valBarre(btex 0 etex);
endTableau;
@@ -191,33 +192,33 @@ 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);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle -\left(2\cdot \mbox{x}\right)\mbox{+}3}$ 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 $\hbox{ Signe de }\atop{\displaystyle -\left(4\cdot \mbox{x}\right)\mbox{+}5}$ 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 $\hbox{ Signe de }\atop{\displaystyle (\mbox{x})^{2}-16}$ 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 $\hbox{ Signe de }\atop{\displaystyle \mbox{x}-2}$ 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);
+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;
@@ -226,13 +227,13 @@ beginTableau(14)
newLigneVariables(btex $ {x}$ etex);
val(btex $\mbox{-}\infty $ etex);val(btex $-10$ etex);
val(btex $10$ etex);
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {\mbox{x}-10}}$ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle \mbox{x}-10}$ etex);
moins;barre;moins;
valBarre(btex 0 etex);
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {\mbox{x}\mbox{+}10}}$ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle \mbox{x}\mbox{+}10}$ etex);
moins;valBarre(btex 0 etex);plus;
- newLigneSignes(btex $\hbox{ Signe de}\atop{{\displaystyle Q(x)}}$ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle Q(x)}$ etex);
plus;nonDefBarre; moins;
valBarre(btex 0 etex);
endTableau;
@@ -243,34 +244,34 @@ 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 $\hbox{ Signe de }\atop{\displaystyle (\mbox{x}-10)\cdot (\mbox{x}\mbox{+}5)}$ 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 $-50$ etex);val(btex $-\frac{2}{3}$ etex);
val(btex $\mbox{-}\frac{\sqrt{5}}{5} $ etex);
val(btex $\frac{\sqrt{5}}{5} $ etex);
val(btex $50$ etex);
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {3\cdot \mbox{x}\mbox{+}2}}$ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle 3\cdot \mbox{x}\mbox{+}2}$ 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 $\hbox{ Signe de }\atop{\displaystyle 5\cdot \mbox{x}^{2}-1}$ etex);
plus;barre;
plus;
valBarre(btex 0 etex);moins;valBarre(btex 0 etex);plus;
- newLigneSignes(btex $\hbox{ Signe du }\atop{{\displaystyle \rm produit}}$ etex);
+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(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);
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);
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);
nonDefBarre;limDroite(btex $\mbox{+}\infty $ etex,1);valPos(btex $ 2 $ etex,0.5); valPos(btex $-1$
etex,0);valPos(btex
$ 2 $ etex,0.5);valPos(btex $\mbox{+}\infty $ etex,1);
@@ -278,7 +279,7 @@ 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);
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);
+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);
@@ -286,7 +287,7 @@ endTableau;
beginTableau(18) newLigneVariables(btex $x$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $\mbox{+}\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);
+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);
endTableau;
@@ -294,13 +295,13 @@ beginTableau(20) newLigneVariables(btex $x$ etex);val(btex $1$ etex);
val(btex $\mbox{+}\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);
+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);
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);valBarre(btex 0 etex);plus;valBarre(btex$ $ etex);plus; valBarre(btex 0 etex);moins;valBarre(btex $ $ etex);moins;
-newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle {f}}$ 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 $1$
etex,1);valPos(btex
$ 1/2 $ etex,0.5);valPos(btex $-1$ etex,0);
@@ -311,7 +312,7 @@ val(btex $\pi $ etex);
val(btex $2\cdot \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 $-1$
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $1$ etex,1); valPos(btex $-1$
etex,0);
valPos(btex $1$ etex,1);
endTableau;
@@ -319,13 +320,13 @@ endTableau;
beginTableau(23) 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 $\hbox{ Signe de }\atop{\displaystyle h'(t)}$ etex); plus;valBarre(btex$ $ etex);plus; nonDefBarre;plus;
-newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle {h}}$ etex);
+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);
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);
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);
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);
valPos(btex $0$ etex,0);valPos(btex $ 1 $ etex,0.5); valPos(btex $\frac{3}{4} \times \sqrt{3}$
etex,1);valPos(btex
$ 1 $ etex,0.5);valPos(btex $0$ etex,0);
@@ -336,7 +337,7 @@ val(btex $0$ etex);
val(btex $\mbox{+}\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 $0$
+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;
@@ -349,7 +350,7 @@ val(btex $\frac{1}{2} \times \sqrt{5}\mbox{+}\frac{-3}{2}$ 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);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle -\left(2\cdot \mbox{x}\right)\mbox{+}3}$ etex);
plus;barre;
plus;barre;
plus;barre;
@@ -357,35 +358,35 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {-\left(2\cdot \mbox
plus;valBarre(btex 0 etex);moins;
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {\mbox{x}-1}}$ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle \mbox{x}-1}$ 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 $\hbox{ Signe de }\atop{\displaystyle \mbox{x}\mbox{+}1}$ 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 $\hbox{ Signe de }\atop{\displaystyle (\mbox{x})^{2}\mbox{+}3\cdot \mbox{x}\mbox{+}1}$ etex);
plus;
valBarre(btex 0 etex);moins;barre;
moins;
valBarre(btex 0 etex);plus;barre;
plus;barre;plus;
- newLigneSignes(btex $\hbox{ Signe du }\atop{{\displaystyle \rm produit}}$ etex);
+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(27) newLigneVariables(btex $x$ etex);val(btex $\mbox{-}\infty $ etex);val(btex $-3$ etex);val(btex $\alpha_1$ etex);val(btex $\mbox{+}\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);
+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);
@@ -393,7 +394,7 @@ 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);
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);
+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);
@@ -404,20 +405,20 @@ val(btex $1$ etex);
val(btex $\mbox{+}\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 $\mbox{ln}\left(\frac{(e^{1}\mbox{+}1)}{e^{1}}\right)$
etex,1);valPos(btex $0$ etex,0);
endTableau;
beginTableau(31) 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);
+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);
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);
+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);
@@ -428,7 +429,7 @@ 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 $\hbox{ Signe de }\atop{\displaystyle (\mbox{x}-10)\cdot (\mbox{x}\mbox{+}10)}$ etex);
valBarre(btex 0 etex);plus;
valBarre(btex 0 etex);
endTableau;
@@ -441,7 +442,7 @@ val(btex $\sqrt{2}$ etex);
val(btex $\mbox{+}\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 $\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);
endTableau;
beginTableau(35) newLigneVariables(btex $x$ etex);val(btex $\mbox{-}\infty $ etex);
@@ -450,7 +451,7 @@ val(btex $1$ etex);
val(btex $\mbox{+}\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 $\mbox{+}\infty $ etex,1); limGauche(btex $-\infty$ etex,0);debutNonDef;finNonDef;limDroite(btex $-\infty$ etex,0);valPos(btex $\mbox{+}\infty $ etex,1);
endTableau;
beginTableau(36) newLigneVariables(btex $x$ etex);val(btex $\mbox{-}\infty $ etex);
@@ -462,14 +463,14 @@ val(btex $6$ etex);
val(btex $\mbox{+}\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 $\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);
endTableau;
beginTableau(37) newLigneVariables(btex $x$ etex);val(btex $-5$ etex);
val(btex $\frac{2}{5}$ etex);
val(btex $10$ etex);
-newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle {f}}$ etex);valPos(btex $\frac{169}{2}$ etex,1); valPos(btex $\frac{58}{5}$
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $\frac{169}{2}$ etex,1); valPos(btex $\frac{58}{5}$
etex,0);
valPos(btex $242$ etex,1);
endTableau;
@@ -479,7 +480,7 @@ 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 $20$ etex);
-newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle {f}}$ etex);valPos(btex $-26047$ etex,0); valPos(btex $\frac{14}{243} \times \sqrt{7}\mbox{+}\frac{-1681}{243}$
+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 $-\left(\frac{14}{243} \times \sqrt{7}\right)\mbox{+}\frac{-1681}{243}$
etex,0);
valPos(btex $22033$ etex,1);
@@ -490,7 +491,7 @@ 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 $20$ 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 $-\left(\frac{14}{243} \times \sqrt{7}\right)\mbox{+}\frac{1681}{243}$
etex,0);
valPos(btex $\frac{14}{243} \times \sqrt{7}\mbox{+}\frac{1681}{243}$
etex,1);valPos(btex $-22033$ etex,0);
@@ -503,7 +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 $\hbox{ Signe de }\atop{\displaystyle -\left(3\cdot (\mbox{x})^{3}\right)\mbox{+}5\cdot (\mbox{x})^{2}-\left(2\cdot \mbox{x}\right)\mbox{+}7}$ etex);
plus;valBarre(btex 0 etex); moins;
endTableau;
@@ -514,14 +515,14 @@ 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 $\hbox{ Signe de }\atop{\displaystyle 3\cdot (\mbox{x})^{3}-\left(5\cdot (\mbox{x})^{2}\right)\mbox{+}2\cdot \mbox{x}-7}$ 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);
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);
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f'}$ etex);
valPos(btex $\frac{1}{2}$ etex,0); valPos(btex $ 1.000000$
etex,1);valPos(btex
$ 0 $ etex,0.5);valPos(btex $-\infty$ etex,0);
@@ -532,7 +533,7 @@ val(btex $ 0.639232$ etex);
val(btex $\mbox{+}\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$
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $-\infty$ etex,0); valPos(btex $ 0.967397$
etex,1);valPos(btex $-\infty$ etex,0);
endTableau;
@@ -540,21 +541,21 @@ endTableau;
end
beginTableau(105)
newLigneVariables(btex $ {x}$ etex);
- val(btex $-50$ etex);val(btex $\frac{-2}{3}$ 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 $50$ etex);
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {3\cdot \mbox{x}\mbox{+}2}}$ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle 3\cdot \mbox{x}\mbox{+}2}$ 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 $\hbox{ Signe de }\atop{\displaystyle 5\cdot \mbox{x}^{2}-1}$ etex);
plus;barre;
plus;
valBarre(btex 0 etex);moins;valBarre(btex 0 etex);plus;
- newLigneSignes(btex $\hbox{ Signe du }\atop{{\displaystyle \rm produit}}$ etex);
+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;
@@ -562,21 +563,21 @@ endTableau;
end
beginTableau(105)
newLigneVariables(btex $ {x}$ etex);
- val(btex $-50$ etex);val(btex $\frac{-2}{3}$ 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 $50$ etex);
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {3\cdot \mbox{x}\mbox{+}2}}$ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle 3\cdot \mbox{x}\mbox{+}2}$ 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 $\hbox{ Signe de }\atop{\displaystyle 5\cdot \mbox{x}^{2}-1}$ etex);
plus;barre;
plus;
valBarre(btex 0 etex);moins;valBarre(btex 0 etex);plus;
- newLigneSignes(btex $\hbox{ Signe du }\atop{{\displaystyle \rm produit}}$ etex);
+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;