@Derivadas parciais
system:sage

<CENTER>
<HR>
<H3>Derivadas parciais</H3>
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{{{id=0|
#auto
%hide
var('x,y,z,t,u,v,w')
@interact
def _(f =input_box(default=sin(y^2)*exp((1-x^2)^3)),variables=input_box(default=[x,y,y])):
    P = diff(f, variables)
    html('<h1>A derivada de $f(x) = %s$</h1>'%latex(f))
    html('<h2>respecto da(s) variable(s) $%s$ é</h2>'%latex(variables))
    show(P)
///

<html><!--notruncate--><div padding=6 id='div-interact-0'> <table width=800px height=20px bgcolor='#c5c5c5'
                 cellpadding=15><tr><td bgcolor='#f9f9f9' valign=top align=left><table><tr><td align=right><font color="black">f&nbsp;</font></td><td><input type='text' value="e^(-(x^2 - 1)^3)*sin(y^2)" size=80 onchange='interact(0, "sage.server.notebook.interact.update(0, \"f\", 1, sage.server.notebook.interact.standard_b64decode(\""+encode64(this.value)+"\"), globals());sage.server.notebook.interact.recompute(0)")'></input></td></tr>
<tr><td align=right><font color="black">variables&nbsp;</font></td><td><input type='text' value="[x, y, y]" size=80 onchange='interact(0, "sage.server.notebook.interact.update(0, \"variables\", 2, sage.server.notebook.interact.standard_b64decode(\""+encode64(this.value)+"\"), globals());sage.server.notebook.interact.recompute(0)")'></input></td></tr>
</table><div id='cell-interact-0'><?__SAGE__START>
        <table border=0 bgcolor='#white' width=100% height=100%>
        <tr><td bgcolor=white align=left valign=top><pre><?__SAGE__TEXT></pre></td></tr>
        <tr><td  align=left valign=top><?__SAGE__HTML></td></tr>
        </table><?__SAGE__END></div></td>
                 </tr></table></div>
                 </html>
}}}

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///
}}}