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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 | 146 |
1 files changed, 65 insertions, 81 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 905afed0cbc..260b9b876d9 100644 --- a/Master/texmf-dist/doc/latex/tablor/Figures/tablor_Tab.mp +++ b/Master/texmf-dist/doc/latex/tablor/Figures/tablor_Tab.mp @@ -2,8 +2,8 @@ input tableauVariation; verbatimtex %&latex \documentclass{article} -\usepackage[upright]{fourier}% ou mathpazo, lmodern, etc. ou rien ! -\usepackage{amsmath} +\usepackage[upright]{kpfonts}% ou mathpazo, lmodern, etc. ou rien ! +%\usepackage{amsmath} \renewcommand\mbox[1]{ #1 } % pour les mbox intempestifs de xcas \renewcommand\cdot{ } % idem pour les cdot \begin{document} @@ -39,8 +39,15 @@ newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle g}$ etex);va etex,0);nonDefBarre;limDroite(btex $+\infty $ etex,1);valPos(btex $1$ etex,0); endTableau; +beginTableau(2) newLigneVariables(btex $x$ etex);val(btex $0$ etex); +val(btex $2$ etex); + +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);valBarre(btex 0 etex);plus; +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $0$ etex,0);valPos(btex $4$ etex,1); +endTableau; -beginTableau(2) + +beginTableau(3) newLigneVariables(btex $ {x}$ etex); val(btex $-\infty $ etex);val(btex $\frac{-3}{5}$ etex); val(btex $2$ etex); @@ -52,7 +59,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle 2-x}$ etex); plus;barr newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle @varphi(x)}$ etex); plus;valBarre(btex 0 etex); moins;nonDefBarre;plus; endTableau; -beginTableau(3) newLigneVariables(btex $x$ etex);val(btex $-5$ etex); +beginTableau(4) newLigneVariables(btex $x$ etex);val(btex $-5$ etex); val(btex $0$ etex); val(btex $7$ etex); @@ -61,7 +68,7 @@ newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);va valPos(btex $49$ etex,1); endTableau; -beginTableau(4) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex); +beginTableau(5) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex); val(btex $0$ etex); val(btex $+\infty $ etex); @@ -73,14 +80,14 @@ endTableau; -beginTableau(5) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex); +beginTableau(6) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex); val(btex $0$ etex); val(btex $+\infty $ etex); newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; valBarre(btex 0 etex);plus; endTableau; -beginTableau(6) newLigneVariables(btex $t$ etex);val(btex $-10$ etex); +beginTableau(7) newLigneVariables(btex $t$ etex);val(btex $-10$ etex); val(btex $-1$ etex); val(btex $0$ etex); val(btex $1$ etex); @@ -95,7 +102,7 @@ newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle g}$ etex);va etex,0);nonDefBarre;limDroite(btex $+\infty $ etex,1);valPos(btex $1$ etex,0); endTableau; -beginTableau(7) newLigneVariables(btex $t$ etex);val(btex $-\pi $ etex); +beginTableau(8) newLigneVariables(btex $t$ etex);val(btex $-\pi $ etex); val(btex $\frac{(-\pi )}{2}$ etex); val(btex $\frac{\pi }{2}$ etex); val(btex $\pi $ etex); @@ -107,19 +114,19 @@ valPos(btex $\frac{3}{2}$ etex,1);valPos(btex $\frac{1}{2}$ etex,0); endTableau; -beginTableau(8) newLigneVariables(btex $x$ etex);val(btex $1$ etex);val(btex $2$ etex);val(btex $3$ etex);val(btex $4$ etex); +beginTableau(9) newLigneVariables(btex $x$ etex);val(btex $1$ etex);val(btex $2$ etex);val(btex $3$ etex);val(btex $4$ etex); newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $-1$ etex,0); valPos(btex $5$etex,1);valPos(btex $2$etex,0);valPos(btex $9$ etex,1); endTableau; -beginTableau(9) newLigneVariables(btex $x$ etex);val(btex $1$ etex);val(btex $2$ etex);val(btex $3$ etex);val(btex $4$ etex); +beginTableau(10) newLigneVariables(btex $x$ etex);val(btex $1$ etex);val(btex $2$ etex);val(btex $3$ etex);val(btex $4$ etex); newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $-1$ etex,1); limGauche(btex$-\infty $etex,0);nonDefBarre;limDroite(btex$+\infty $etex,1);valPos(btex $2$etex,0);valPos(btex $9$ etex,1); endTableau; -beginTableau(10) newLigneVariables(btex $x$ etex);val(btex $1$ etex);val(btex $2$ etex);val(btex $3$ etex);val(btex $4$ etex); +beginTableau(11) newLigneVariables(btex $x$ etex);val(btex $1$ etex);val(btex $2$ etex);val(btex $3$ etex);val(btex $4$ etex); newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);nonDefBarre;limDroite(btex $-1$ etex,1); limGauche(btex$-\infty $etex,0);nonDefBarre;limDroite(btex$+\infty $etex,1);valPos(btex $2$etex,0);limGauche(btex $+\infty $ etex,1);nonDefBarre; endTableau; -beginTableau(11) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex); +beginTableau(12) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex); val(btex $-1$ etex); val(btex $1$ etex); val(btex $+\infty $ etex); @@ -128,7 +135,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle @varphi'(x)}$ etex);mo newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle @varphi}$ etex);valPos(btex $+\infty $ etex,1); limGauche(btex $0$ etex,0);debutNonDef;finNonDef;limDroite(btex $0$ etex,0);valPos(btex $+\infty $ etex,1); endTableau; -beginTableau(12) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex); +beginTableau(13) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex); val(btex $-1$ etex); val(btex $1$ etex); val(btex $\frac{5}{2}$ etex); @@ -140,7 +147,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; d newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $+\infty $ etex,1); limGauche(btex $-\infty$ etex,0);debutNonDefStrict;finNonDefStrict;limDroite(btex $-\infty$ etex,0);valPos(btex$\ln\left(\frac{441}{16}\right)$etex,1);limGauche(btex $-\infty$ etex,0);debutNonDefStrict;finNonDefStrict;limDroite(btex $-\infty$ etex,0);valPos(btex $+\infty $ etex,1); endTableau; -beginTableau(13) 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); +beginTableau(14) newLigneVariables(btex $x$ etex);val(btex $-10$ etex);val(btex $\alpha_1$ etex);val(btex $-1$ etex);val(btex $0$ etex);val(btex $1$ etex);val(btex $\alpha_2$ etex);val(btex $+\infty $ etex); newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex); plus;valBarre(btex$ $ etex);plus; nonDefBarre;plus;valBarre(btex 0 etex);moins;nonDefBarre;moins;valBarre(btex $ $ etex);moins; newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex); @@ -150,7 +157,7 @@ valPos(btex $\frac{100}{99}$ etex,0);valPos(btex $ 10 $ etex,0.5); limGauche(bte valPos(btex $1$ etex,0); endTableau; -beginTableau(14) 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); +beginTableau(15) newLigneVariables(btex $x$ etex);val(btex $-10$ etex);val(btex $-1$ etex);val(btex $\alpha_1$ etex);val(btex $0$ etex);val(btex $\alpha_2$ etex);val(btex $1$ etex);val(btex $+\infty $ etex); newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex); plus; nonDefBarre;plus;valBarre(btex $ $ etex);plus;valBarre(btex 0 etex);moins;valBarre(btex $ $ etex);moins;nonDefBarre;moins; newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex); valPos(btex $\frac{100}{99}$ etex,0); limGauche(btex $+\infty $ etex,1);nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex @@ -161,7 +168,7 @@ valPos(btex $\frac{100}{99}$ etex,0); limGauche(btex $+\infty $ etex,1);nonDefB limGauche(btex $-\infty$ etex,0);nonDefBarre;limDroite(btex $+\infty $ etex,1);valPos(btex $1$ etex,0); endTableau; -beginTableau(15) newLigneVariables(btex $x$ etex);val(btex $-10$ etex);val(btex $\frac{(-\left(\sqrt{10}\right))}{3}$ etex);val(btex $-1$ etex);val(btex $0$ etex);val(btex $1$ etex);val(btex $\frac{\sqrt{10}}{3}$ etex);val(btex $+\infty $ etex); +beginTableau(16) newLigneVariables(btex $x$ etex);val(btex $-10$ etex);val(btex $\frac{(-\left(\sqrt{10}\right))}{3}$ etex);val(btex $-1$ etex);val(btex $0$ etex);val(btex $1$ etex);val(btex $\frac{\sqrt{10}}{3}$ etex);val(btex $+\infty $ etex); newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex); plus;valBarre(btex$ $ etex);plus; nonDefBarre;plus;valBarre(btex 0 etex);moins;nonDefBarre;moins;valBarre(btex $ $ etex);moins; newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex); @@ -171,7 +178,7 @@ valPos(btex $\frac{100}{99}$ etex,0);valPos(btex $ 10 $ etex,0.5); limGauche(bte valPos(btex $1$ etex,0); endTableau; -beginTableau(16) newLigneVariables(btex $x$ etex);val(btex $-10$ etex);val(btex $-1$ etex);val(btex $\frac{(-\left(\sqrt{2}\right))}{2}$ etex);val(btex $0$ etex);val(btex $\frac{\sqrt{2}}{2}$ etex);val(btex $1$ etex);val(btex $+\infty $ etex); +beginTableau(17) newLigneVariables(btex $x$ etex);val(btex $-10$ etex);val(btex $-1$ etex);val(btex $\frac{(-\left(\sqrt{2}\right))}{2}$ etex);val(btex $0$ etex);val(btex $\frac{\sqrt{2}}{2}$ etex);val(btex $1$ etex);val(btex $+\infty $ etex); newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex); plus; nonDefBarre;plus;valBarre(btex $ $ etex);plus;valBarre(btex 0 etex);moins;valBarre(btex $ $ etex);moins;nonDefBarre;moins; newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex); valPos(btex $\frac{100}{99}$ etex,0); limGauche(btex $+\infty $ etex,1);nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex @@ -182,7 +189,7 @@ valPos(btex $\frac{100}{99}$ etex,0); limGauche(btex $+\infty $ etex,1);nonDefB limGauche(btex $-\infty$ etex,0);nonDefBarre;limDroite(btex $+\infty $ etex,1);valPos(btex $1$ etex,0); endTableau; -beginTableau(17) newLigneVariables(btex $x$ etex);val(btex $-\pi $ etex);val(btex $\frac{(-\pi )}{3}$ etex);val(btex $0$ etex);val(btex $\frac{\pi }{3}$ etex);val(btex $\pi $ etex); +beginTableau(18) newLigneVariables(btex $x$ etex);val(btex $-\pi $ etex);val(btex $\frac{(-\pi )}{3}$ etex);val(btex $0$ etex);val(btex $\frac{\pi }{3}$ etex);val(btex $\pi $ etex); newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle @cos'(x)}$ etex);valBarre(btex 0 etex);plus;valBarre(btex$ $ etex);plus; valBarre(btex 0 etex);moins;valBarre(btex $ $ etex);moins; newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle @cos}$ etex); @@ -191,40 +198,17 @@ valPos(btex $-1$ etex,0);valPos(btex $ 1/2 $ etex,0.5); valPos(btex $1$ $ 1/2 $ etex,0.5);valPos(btex $-1$ etex,0); endTableau; -beginTableau(18) newLigneVariables(btex $x$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $ 0.337860$ etex);val(btex $\alpha_2$ etex);val(btex $ 1.745534$ etex);val(btex $+\infty $ etex); -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle g''(x)}$ etex);nonDefBarre;moins;valBarre(btex$ - $ etex);moins; valBarre(btex 0 etex);plus;valBarre(btex $ $ etex);plus;valBarre(btex 0 etex);moins; -newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle g'}$ etex); -nonDefBarre;limDroite(btex $+\infty $ etex,1);valPos(btex $ 0 $ etex,0.5); valPos(btex $ -0.530055$ - etex,0);valPos(btex - $ 0 $ etex,0.5);valPos(btex $ 1.534460$ - etex,1); valPos(btex $0$ etex,0); -endTableau; - beginTableau(19) newLigneVariables(btex $x$ etex);val(btex $0$ etex); -val(btex $ 0.212584$ etex); -val(btex $ 0.584635$ etex); +val(btex $ 0.156422$ 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$ +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle g'(x)}$ etex);nonDefBarre;moins; valBarre(btex 0 etex);plus; +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle g}$ etex);nonDefBarre;limDroite(btex $-1$ etex,1); valPos(btex $ -1.145392$ etex,0); valPos(btex $+\infty $ etex,1); endTableau; -beginTableau(20) newLigneVariables(btex $x$ etex);val(btex $0$ etex); -val(btex $ 0.001000$ etex); -val(btex $ 0.002000$ etex); -val(btex $+\infty $ etex); - -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle g'(x)}$ etex);nonDefBarre;plus; valBarre(btex 0 etex);plus;valBarre(btex 0 etex);plus; -newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle g}$ etex);nonDefBarre;limDroite(btex $ 0.000000$ etex,0); valPos(btex $ 0.000000$ - etex,0.5);valPos(btex $ 0.000000$ - etex,0.5);valPos(btex $+\infty $ etex,1); -endTableau; - -beginTableau(21) newLigneVariables(btex $t$ etex);val(btex $-\infty $ etex); +beginTableau(20) newLigneVariables(btex $t$ etex);val(btex $-\infty $ etex); val(btex $0$ etex); val(btex $+\infty $ etex); @@ -234,7 +218,7 @@ newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle g}$ etex);va etex,0);valPos(btex $1$ etex,1); endTableau; -beginTableau(22) newLigneVariables(btex $t$ etex);val(btex $0$ etex); +beginTableau(21) newLigneVariables(btex $t$ etex);val(btex $0$ etex); val(btex $\frac{\pi }{8}$ etex); val(btex $\frac{\pi }{3}$ etex); val(btex $\frac{3 \pi }{8}$ etex); @@ -254,7 +238,7 @@ newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle y}$ etex);va valPos(btex $0$ etex,1); endTableau; -beginTableau(23) newLigneVariables(btex $t$ etex);val(btex $-\infty $ etex); +beginTableau(22) newLigneVariables(btex $t$ etex);val(btex $-\infty $ etex); val(btex $-4$ etex); val(btex $-1$ etex); val(btex $0$ etex); @@ -281,7 +265,7 @@ valPos(btex $\frac{16}{3}$ endTableau; - beginTableau(24) + beginTableau(23) newLigneVariables(btex $ {x}$ etex); val(btex $-\infty$ etex);val(btex $\frac{3}{2}$ etex); val(btex $5$etex); @@ -291,7 +275,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle -2x+3}$ etex);plus;val 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(25) + beginTableau(24) newLigneVariables(btex $ {x}$ etex); val(btex $-\infty $ etex);val(btex $-\left(\sqrt{2}\right)$ etex); val(btex $-1$ etex); @@ -340,7 +324,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle P(x)}$ etex); endTableau; - beginTableau(26) + beginTableau(25) newLigneVariables(btex $ {x}$ etex); val(btex $-15$ etex);val(btex $-10$ etex); val(btex $10$ etex); @@ -357,7 +341,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f(x)}$ etex); endTableau; -beginTableau(27) +beginTableau(26) newLigneVariables(btex $ {x}$ etex); val(btex $-\infty $ etex);val(btex $-4$ etex); val(btex $\frac{5}{4}$ etex); @@ -375,7 +359,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle Q(x)}$ etex); moins;no endTableau; -beginTableau(28) +beginTableau(27) newLigneVariables(btex $ {x}$ etex); val(btex $-10$ etex);val(btex $-3$ etex); val(btex $5$ etex); @@ -390,7 +374,7 @@ endTableau; -beginTableau(29) +beginTableau(28) newLigneVariables(btex $\displaystyle {x}$ etex); val(btex $-10$ etex);val(btex $-5$ etex); val(btex $10$ etex); @@ -401,7 +385,7 @@ endTableau; -beginTableau(30) +beginTableau(29) newLigneVariables(btex $\displaystyle {x}$ etex); val(btex $-10$ etex);val(btex $2$ etex); val(btex $5$ etex); @@ -412,7 +396,7 @@ endTableau; -beginTableau(31) +beginTableau(30) newLigneVariables(btex $\displaystyle {x}$ etex); val(btex $0$ etex);val(btex $\frac{\pi }{2}$ etex); val(btex $\pi $ etex); @@ -439,12 +423,12 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle 5 x^{2}-1}$ etex); plus; valBarre(btex 0 etex);moins;valBarre(btex 0 etex);plus; -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle (3x+2)(5x^2-1)}$ 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(32) 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); + beginTableau(31) newLigneVariables(btex $x$ etex);val(btex $-1$ etex);val(btex $\alpha_1$ etex);val(btex $0$ etex);val(btex $\alpha_2$ etex);val(btex $+\infty $ etex); newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);nonDefBarre;moins;valBarre(btex$ $ etex);moins; valBarre(btex 0 etex);plus;valBarre(btex $ $ etex);plus; newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex); @@ -453,7 +437,7 @@ nonDefBarre;limDroite(btex $+\infty $ etex,1);valPos(btex $ 2 $ etex,0.5); valPo $ 2 $ etex,0.5);valPos(btex $+\infty $ etex,1); endTableau; -beginTableau(33) newLigneVariables(btex $x$ etex);val(btex $\frac{-1}{2}$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $+\infty $ etex); +beginTableau(32) newLigneVariables(btex $x$ etex);val(btex $\frac{-1}{2}$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $+\infty $ etex); newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex); moins; valBarre(btex 0 etex);plus;valBarre(btex $ $ etex);plus; newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex); valPos(btex $\frac{1}{4}$ etex,1); valPos(btex $0$ @@ -461,21 +445,21 @@ valPos(btex $\frac{1}{4}$ etex,1); valPos(btex $0$ $ 2 $ etex,0.5);valPos(btex $+\infty $ etex,1); endTableau; -beginTableau(34) newLigneVariables(btex $x$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $+\infty $ etex); +beginTableau(33) newLigneVariables(btex $x$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $+\infty $ etex); newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle @ln'(x)}$ etex);nonDefBarre;plus;valBarre(btex$ $ etex);plus; newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle @ln}$ etex); nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex $ 2 $ etex,0.5);valPos(btex $+\infty $ etex,1); endTableau; -beginTableau(36) newLigneVariables(btex $x$ etex);val(btex $1$ etex); +beginTableau(35) newLigneVariables(btex $x$ etex);val(btex $1$ etex); val(btex $+\infty $ etex); newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle -@ln'(x)}$ etex); moins; newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle -@ln}$ etex);valPos(btex $0$ etex,1);valPos(btex $-\infty$ etex,0); endTableau; -beginTableau(37) 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); +beginTableau(36) newLigneVariables(btex $x$ etex);val(btex $-\pi $ etex);val(btex $\alpha_1$ etex);val(btex $0$ etex);val(btex $\alpha_2$ etex);val(btex $\pi $ etex); newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle @cos'(x)}$ etex);valBarre(btex 0 etex);plus;valBarre(btex$ $ etex);plus; valBarre(btex 0 etex);moins;valBarre(btex $ $ etex);moins; newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle @cos}$ etex); @@ -484,7 +468,7 @@ valPos(btex $-1$ etex,0);valPos(btex $ 1/2 $ etex,0.5); valPos(btex $1$ $ 1/2 $ etex,0.5);valPos(btex $-1$ etex,0); endTableau; -beginTableau(38) newLigneVariables(btex $x$ etex);val(btex $0$ etex); +beginTableau(37) newLigneVariables(btex $x$ etex);val(btex $0$ etex); val(btex $\pi $ etex); val(btex $2 \pi $ etex); @@ -494,21 +478,21 @@ newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle @cos}$ etex) valPos(btex $1$ etex,1); endTableau; -beginTableau(39) newLigneVariables(btex $t$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $\frac{\pi }{2}$ etex);val(btex $\pi $ etex); +beginTableau(38) newLigneVariables(btex $t$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $\frac{\pi }{2}$ etex);val(btex $\pi $ etex); newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle @tan'(t)}$ etex); plus;valBarre(btex$ $ etex);plus; nonDefBarre;plus; newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle @tan}$ etex); valPos(btex $0$ etex,0);valPos(btex $ 7 $ etex,0.5); limGauche(btex $+\infty $ etex,1);nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex $0$ etex,1); endTableau; -beginTableau(40) newLigneVariables(btex $t$ etex);val(btex $0$ etex);val(btex $\mathrm{atan}\left(7\right)$ etex);val(btex $\frac{\pi }{2}$ etex);val(btex $\pi $ etex); +beginTableau(39) newLigneVariables(btex $t$ etex);val(btex $0$ etex);val(btex $\mathrm{atan}\left(7\right)$ etex);val(btex $\frac{\pi }{2}$ etex);val(btex $\pi $ etex); newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle @tan'(t)}$ etex); plus;valBarre(btex$ $ etex);plus; nonDefBarre;plus; newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle @tan}$ etex); valPos(btex $0$ etex,0);valPos(btex $ 7 $ etex,0.5); limGauche(btex $+\infty $ etex,1);nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex $0$ etex,1); endTableau; -beginTableau(41) 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); +beginTableau(40) newLigneVariables(btex $x$ etex);val(btex $-1$ etex);val(btex $\alpha_1$ etex);val(btex $\frac{-1}{2}$ etex);val(btex $\alpha_2$ etex);val(btex $1$ etex); newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex); plus;valBarre(btex$ $ etex);plus; valBarre(btex 0 etex);moins;valBarre(btex $ $ etex);moins; newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex); @@ -517,7 +501,7 @@ valPos(btex $0$ etex,0);valPos(btex $ 1 $ etex,0.5); valPos(btex $\frac $ 1 $ etex,0.5);valPos(btex $0$ etex,0); endTableau; -beginTableau(42) newLigneVariables(btex $x$ etex);val(btex $-1$ etex);val(btex $ -0.839287$ etex);val(btex $\frac{-1}{2}$ etex);val(btex $0$ etex);val(btex $1$ etex); +beginTableau(41) newLigneVariables(btex $x$ etex);val(btex $-1$ etex);val(btex $ -0.839287$ etex);val(btex $\frac{-1}{2}$ etex);val(btex $0$ etex);val(btex $1$ etex); newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex); plus;valBarre(btex$ $ etex);plus; valBarre(btex 0 etex);moins;valBarre(btex $ $ etex);moins; newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex); @@ -526,7 +510,7 @@ valPos(btex $0$ etex,0);valPos(btex $ 1 $ etex,0.5); valPos(btex $\frac $ 1 $ etex,0.5);valPos(btex $0$ etex,0); endTableau; -beginTableau(43) newLigneVariables(btex $x$ etex);val(btex $-1$ etex); +beginTableau(42) newLigneVariables(btex $x$ etex);val(btex $-1$ etex); val(btex $0$ etex); val(btex $+\infty $ etex); @@ -535,7 +519,7 @@ newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);no etex,1);valPos(btex $-\infty$ etex,0); endTableau; - beginTableau(44) + beginTableau(43) newLigneVariables(btex $ {x}$ etex); val(btex $-10$ etex);val(btex $\frac{(-\left(\sqrt{5}\right)-3)}{2}$ etex); val(btex $-1$ etex); @@ -577,7 +561,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle G(x)}$ etex); endTableau; - beginTableau(45) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);val(btex $-3$ etex);val(btex $\alpha_1$ etex);val(btex $+\infty $ etex); + beginTableau(44) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);val(btex $-3$ etex);val(btex $\alpha_1$ etex);val(btex $+\infty $ etex); newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; valBarre(btex 0 etex);plus;valBarre(btex $ $ etex);plus; newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex); valPos(btex $-1$ etex,1); valPos(btex $-\left(e^{-4}\right)-1$ @@ -585,7 +569,7 @@ valPos(btex $-1$ etex,1); valPos(btex $-\left(e^{-4}\right)-1$ $ 0 $ etex,0.5);valPos(btex $+\infty $ etex,1); endTableau; -beginTableau(46) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $+\infty $ etex); +beginTableau(45) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $+\infty $ etex); newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);plus; valBarre(btex 0 etex);moins;valBarre(btex $ $ etex);moins; newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex); valPos(btex $1$ etex,0); valPos(btex $2$ @@ -593,7 +577,7 @@ valPos(btex $1$ etex,0); valPos(btex $2$ $ 0 $ etex,0.5);valPos(btex $-\infty$ etex,0); endTableau; -beginTableau(48) newLigneVariables(btex $x$ etex);val(btex $0$ etex); +beginTableau(47) newLigneVariables(btex $x$ etex);val(btex $0$ etex); val(btex $1$ etex); val(btex $+\infty $ etex); @@ -602,14 +586,14 @@ newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);va etex,1);valPos(btex $0$ etex,0); endTableau; -beginTableau(49) newLigneVariables(btex $x$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $\pi $ etex); +beginTableau(48) newLigneVariables(btex $x$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $\pi $ etex); newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex); moins;valBarre(btex$ $ etex);moins; newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex); valPos(btex $1$ etex,1);valPos(btex $ 0 $ etex,0.5);valPos(btex $-\pi -1$ etex,0); endTableau; -beginTableau(50) newLigneVariables(btex $x$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $\frac{1}{e^{\frac{-1}{2}}}$ etex);val(btex $\alpha_2$ etex);val(btex $+\infty $ etex); +beginTableau(49) newLigneVariables(btex $x$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $\frac{1}{e^{\frac{-1}{2}}}$ etex);val(btex $\alpha_2$ etex);val(btex $+\infty $ etex); newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);nonDefBarre;plus;valBarre(btex$ $ etex);plus; valBarre(btex 0 etex);moins;valBarre(btex $ $ etex);moins; newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex); @@ -618,7 +602,7 @@ nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex $ -1 $ etex,0.5); valPo $ -1 $ etex,0.5);valPos(btex $-\infty$ etex,0); endTableau; -beginTableau(51) newLigneVariables(btex $x$ etex);val(btex $0$ etex);val(btex $e^{\frac{(-\left(\sqrt{5}\right)+1)}{2}}$ etex);val(btex $\frac{1}{e^{\frac{-1}{2}}}$ etex);val(btex $e^{\frac{(\sqrt{5}+1)}{2}}$ etex);val(btex $+\infty $ etex); +beginTableau(50) newLigneVariables(btex $x$ etex);val(btex $0$ etex);val(btex $e^{\frac{(-\left(\sqrt{5}\right)+1)}{2}}$ etex);val(btex $\frac{1}{e^{\frac{-1}{2}}}$ etex);val(btex $e^{\frac{(\sqrt{5}+1)}{2}}$ etex);val(btex $+\infty $ etex); newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);nonDefBarre;plus;valBarre(btex$ $ etex);plus; valBarre(btex 0 etex);moins;valBarre(btex $ $ etex);moins; newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex); @@ -629,7 +613,7 @@ endTableau; -beginTableau(52) +beginTableau(51) newLigneVariables(btex $\displaystyle {x}$ etex); val(btex $-10$ etex);val(btex $10$ etex); newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle (x-10) (x+10)}$ etex); @@ -637,7 +621,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle (x-10) (x+10)}$ etex); valBarre(btex 0 etex); endTableau; -beginTableau(53) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex); +beginTableau(52) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex); val(btex $-\left(\sqrt{2}\right)$ etex); val(btex $-1$ etex); val(btex $1$ etex); @@ -648,7 +632,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; v 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(54) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex); +beginTableau(53) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex); val(btex $-1$ etex); val(btex $1$ etex); val(btex $+\infty $ etex); @@ -657,7 +641,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; d newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $+\infty $ etex,1); limGauche(btex $-\infty$ etex,0);debutNonDefStrict;finNonDefStrict;limDroite(btex $-\infty$ etex,0);valPos(btex $+\infty $ etex,1); endTableau; -beginTableau(55) newLigneVariables(btex $t$ etex);val(btex $0$ etex); +beginTableau(54) newLigneVariables(btex $t$ etex);val(btex $0$ etex); val(btex $\frac{\pi }{8}$ etex); val(btex $\frac{\pi }{3}$ etex); val(btex $\frac{3 \pi }{8}$ etex); @@ -677,7 +661,7 @@ newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle y}$ etex);va valPos(btex $0$ etex,1); endTableau; -beginTableau(56) newLigneVariables(btex $t$ etex);val(btex $0$ etex); +beginTableau(55) newLigneVariables(btex $t$ etex);val(btex $0$ etex); val(btex $\frac{\pi }{3}$ etex); val(btex $\pi $ etex); val(btex $\frac{5 \pi }{3}$ etex); @@ -697,7 +681,7 @@ valPos(btex $0$ etex,0.5);valPos(btex $1$ etex,1); endTableau; -beginTableau(57) newLigneVariables(btex $t$ etex);val(btex $0$ etex); +beginTableau(56) newLigneVariables(btex $t$ etex);val(btex $0$ etex); val(btex $\frac{\pi }{8}$ etex); val(btex $\frac{\pi }{6}$ etex); val(btex $\frac{3 \pi }{8}$ etex); @@ -716,7 +700,7 @@ newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle g}$ etex);va valPos(btex $0$ etex,1); endTableau; - beginTableau(58) + beginTableau(57) newLigneVariables(btex $ {x}$ etex); val(btex $0$ etex);val(btex $\frac{\pi }{3}$ etex); val(btex $\frac{7 \pi }{6}$ etex); |