Et une p'tite guirlande, une !
Par Arnaud le mercredi 24 décembre 2008, 20:32 - Term S - Lien permanent
Voici la représentation graphique de la dernière fonction étudiée cette
année :
f(x)= 3 - x + ln x / x^3
cliquez pour agrandir

On reconnaitra en vert foncé l'asymptote en plus l'infini, en vert clair la
tangente qui lui est parallèle, et en rouge bien sûr la courbe représentative
de la fonction étudiée.
Voici également un
tableau de valeurs.
Et pour ceux qui utilisent KmPlot (pour Linux), voici le contenu du fichier
.fkt :
<!DOCTYPE kmpdoc>
<kmpdoc version="4" >
<axes width="0.2" color="#282828" tic-legth="0.5" tic-width="0.3"
>
<show-axes>1</show-axes>
<show-arrows>1</show-arrows>
<show-label>1</show-label>
<xmin>−0.5</xmin>
<xmax>5</xmax>
<ymin>−3</ymin>
<ymax>3.5</ymax>
</axes>
<grid width="0.1" color="#aeaeae" >
<mode>1</mode>
</grid>
<scale>
<tic-x-mode>0</tic-x-mode>
<tic-y-mode>1</tic-y-mode>
<tic-x>1</tic-x>
<tic-y>1</tic-y>
</scale>
<function f2-use-gradient="0" f1-use-gradient="0" f0-width="0.2"
type="cartesian" use-parameter-slider="0" f1-show-plot-name="0"
f1-gradient="0;#000000,1;#ffffff," f1-width="0.3" integral-color="#191970"
integral-style="SolidLine" f0-show-tangent-field="0" f0-style="SolidLine"
f1-visible="0" f1-show-tangent-field="0" f0-show-plot-name="0"
integral-show-plot-name="0" f0-gradient="0;#000000,1;#ffffff,"
integral-use-gradient="0" f2-show-tangent-field="0" f2-width="0.3"
integral-visible="0" f1-style="SolidLine" integral-show-tangent-field="0"
f0-color="#00ff00" f1-show-extrema="0" f2-show-plot-name="0"
f2-show-extrema="0" integral-show-extrema="0" f2-style="SolidLine"
f0-show-extrema="0" integral-gradient="0;#000000,1;#ffffff," f1-color="#191970"
f0-visible="1" parameter-slider="0" f2-gradient="0;#000000,1;#ffffff,"
f0-use-gradient="0" integral-width="0.3" use-parameter-list="0"
f2-color="#191970" f2-visible="0" >
<equation-0 step="0.05" >f(x) = 3−x+1/(3e)<differential x="0"
y="1" />
</equation-0>
<arg-min use="0" >0</arg-min>
<arg-max use="0" >2π</arg-max>
</function>
<function f2-use-gradient="0" f1-use-gradient="0" f0-width="0.2"
type="cartesian" use-parameter-slider="0" f1-show-plot-name="0"
f1-gradient="0;#000000,1;#ffffff," f1-width="0.3" integral-color="#006400"
integral-style="SolidLine" f0-show-tangent-field="0" f0-style="SolidLine"
f1-visible="0" f1-show-tangent-field="0" f0-show-plot-name="0"
integral-show-plot-name="0" f0-gradient="0;#000000,1;#ffffff,"
integral-use-gradient="0" f2-show-tangent-field="0" f2-width="0.3"
integral-visible="0" f1-style="SolidLine" integral-show-tangent-field="0"
f0-color="#006400" f1-show-extrema="0" f2-show-plot-name="0"
f2-show-extrema="0" integral-show-extrema="0" f2-style="SolidLine"
f0-show-extrema="0" integral-gradient="0;#000000,1;#ffffff," f1-color="#006400"
f0-visible="1" parameter-slider="0" f2-gradient="0;#000000,1;#ffffff,"
f0-use-gradient="0" integral-width="0.3" use-parameter-list="0"
f2-color="#006400" f2-visible="0" >
<equation-0 step="0.05" >g(x) = 3−x<differential x="0" y="1"
/>
</equation-0>
<arg-min use="0" >0</arg-min>
<arg-max use="0" >2π</arg-max>
</function>
<function f2-use-gradient="0" f1-use-gradient="0" f0-width="0.6"
type="cartesian" use-parameter-slider="0" f1-show-plot-name="0"
f1-gradient="0;#000000,1;#ffffff," f1-width="0.3" integral-color="#ff4500"
integral-style="SolidLine" f0-show-tangent-field="0" f0-style="SolidLine"
f1-visible="0" f1-show-tangent-field="0" f0-show-plot-name="0"
integral-show-plot-name="0" f0-gradient="0;#000000,1;#ffffff,"
integral-use-gradient="0" f2-show-tangent-field="0" f2-width="0.3"
integral-visible="0" f1-style="SolidLine" integral-show-tangent-field="0"
f0-color="#ff4500" f1-show-extrema="0" f2-show-plot-name="0"
f2-show-extrema="0" integral-show-extrema="0" f2-style="SolidLine"
f0-show-extrema="0" integral-gradient="0;#000000,1;#ffffff," f1-color="#ff4500"
f0-visible="1" parameter-slider="0" f2-gradient="0;#000000,1;#ffffff,"
f0-use-gradient="0" integral-width="0.3" use-parameter-list="0"
f2-color="#ff4500" f2-visible="0" >
<equation-0 step="0.05" >h(x) = 3−x+lnx/x³<differential x="0"
y="1" />
</equation-0>
<arg-min use="0" >0</arg-min>
<arg-max use="0" >2π</arg-max>
</function>
<fonts>
<axes-font>Sans Serif</axes-font>
<label-font>Sans Serif</label-font>
<header-table-font>Sans
Serif</header-table-font>
</fonts>
</kmpdoc>


