diff options
author | Manuel Pégourié-Gonnard <mpg@elzevir.fr> | 2008-06-02 14:45:58 +0000 |
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committer | Manuel Pégourié-Gonnard <mpg@elzevir.fr> | 2008-06-02 14:45:58 +0000 |
commit | 6c28f0837ce15fa56ac7ebdb5106c18457c4ad3a (patch) | |
tree | 504592bdd9b329fcaec71049ced6fbc3077ad656 /Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.mp | |
parent | 7b1f9f0f229b2167fb139083f23d7ca61b43c629 (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.mp | 206 |
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; |