Cfxtrjtrk

documentclass[pstricks,border=10pt]{standalone}

usepackage{pstricks-add,pst-plot,pst-calculate,amssymb,amsmath}



begin{document}

begin{pspicture}[algebraic](-4.5,-6)(1,2.5)

defa{pscalculate{8/3}}

defb{pscalculate{16/3}}

psaxes[labels=none,Dx=2,Dy=a,xlabelPos=top,ticks=none]{->}(0,0)(-4.5,-6)(1,2.5)[$x$,-90][$y$,0]

psplot[plotpoints=500,linewidth=1.2pt,yMaxValue=2.1,yMinValue=-6]{-5}{3.5}{1/3*x^3+2*x^2+4*x}



uput[-45](0,0){$O$}

uput[90](-2,0){$-2$}

uput[90](-4,0){$-4$}

uput[0](0,-a){$-dfrac{8}{3}$}

uput[0](0,-b){$-dfrac{16}{3}$}

uput[135](-2,-a){$A$}

uput[180](-4,-b){$B$}

psline[linestyle=dashed](0,-a)(-2,-a)(-2,0)

psline[linestyle=dashed](0,-b)(-4,-b)(-4,0)

psdots*(0,0)(-2,0)(-4,0)(0,-a)(0,-b)(-2,-a)(-4,-b)

end{pspicture}

end{document}

Question:

How to A-point moved from B-point to O and opposite with animation.

I have no many knowledge about animate.

works only with latex->dvips->ps2pdf

documentclass{article}

usepackage{pstricks,pst-plot,pst-calculate,animate,amsmath}

begin{document}



%-------------------- write timeline file ---------------------%

newwriteTimeLineFile

immediateopenoutTimeLineFile=Func.txt

immediatewriteTimeLineFile{::0x0,1}%

multido{i=2+1}{40}{immediatewriteTimeLineFile{::i}}

immediatecloseoutTimeLineFile

%------------------- end timeline -----------------------%



psset{algebraic}



defFunc{1/3*x^3+2*x^2+4*x}

defb{pscalculate{16/3}}



defdrawFunc#1{%

    edefY{pscalculate{1/3*(#1)^3+2*(#1)^2+4*(#1)}}

    psCoordinates[arrows=->,linecolor=blue,linestyle=dashed,

        dotstyle=o,dotscale=2,showpoints](#1,Y)

    uput[90](#1,0){$#1$}

    uput[0](0,Y){Y}

    uput[135](*#1 {Func}){$A$}

}   





begin{center}

begin{animateinline}[controls,palindrome,timeline=Func.txt,

    begin={begin{pspicture}(-4.5,-6)(1.1,2.75)},

    end={end{pspicture}}]{10}

    %---- static material: axes, labels, curve ----%

  psaxes[labels=none,xlabelPos=top,

          ticks=none]{->}(0,0)(-4.5,-6)(1,2.5)[$x$,-90][$y$,0]

  psplot[plotpoints=500,linewidth=1.2pt,yMaxValue=2.1,yMinValue=-6]{-5}{3.5}{Func}

  psCoordinates[arrows=->,linestyle=dashed,dotstyle=o,dotscale=2,showpoints](*4 {Func})

  uput[-45](0,0){$O$}

  uput[90](-4,0){$-4$}

  uput[0](0,-b){$-dfrac{16}{3}$}

  uput[180](-4,-b){$B$}

  psCoordinates[arrows=->,linecolor=blue,linestyle=dashed,dotstyle=o,dotscale=2,showpoints](*-4 {Func})

  newframe

    multiframe{41}{rX=-4+0.1}{drawFunc{rX}}%

end{animateinline}% 

end{center}



end{document}

and the same as a gif animation:

Using it without a timeline:

documentclass[pstricks]{article}

usepackage[paperwidth=8cm,paperheight=10cm,margin=0mm]{geometry}

usepackage{pst-plot,pst-calculate,multido,amsmath,animate}

newpsstyle{coor}{arrows=->,linecolor=blue,linestyle=dashed,dotstyle=o,dotscale=1.5,showpoints}

pagestyle{empty}

begin{document}

    psset{algebraic}



    defFunc{1/3*x^3+2*x^2+4*x}

    defb{pscalculate{16/3}}



defdrawFunc#1{%

  begin{pspicture}(-4.5,-6)(1.1,2.75)      

     edefY{pscalculate{1/3*(#1)^3+2*(#1)^2+4*(#1)}}

     psCoordinates[style=coor](#1,Y)

        uput[90](#1,0){$#1$}

        uput[0](0,Y){Y}

        uput[135](*#1 {Func}){$A$}

    psaxes[labels=none,xlabelPos=top,ticks=none]{->}(0,0)(-4.5,-6)(1,2.5)[$x$,-90][$y$,0]

    psplot[plotpoints=500,linewidth=1.2pt,yMaxValue=2.1,yMinValue=-6]{-5}{3.5}{Func}

    psCoordinates[style=coor](*-4 {Func})

    uput[-45](0,0){$O$}

    uput[90](-4,0){$-4$}

    uput[0](0,-b){$-dfrac{16}{3}$}

    uput[180](-4,-b){$B$}

end{pspicture}%

}   



begin{animateinline}[poster=last, controls, palindrome]{10}%

    multiframe{41}{rA=-4.0+0.1}{drawFunc{rA}}%

end{animateinline}



end{document}

documentclass[pstricks]{standalone}

usepackage{pstricks-add,mathtools}

deff{1/3*x^3+2*x^2+4*x}

psset

{

    unit=2cm,

    xfractionLabels,

    xfractionLabelBase=2,

    dx=pscalculate{1/2},

}



begin{document}

foreachx in{14,13,...,0}{%

begin{pspicture}[algebraic](-4.6,-5.1)(1.3,2.8)

psCoordinates[linestyle=dashed](*-3.5 {f})

psCoordinates[linestyle=dashed](*{-xspace 4 div} {f})

psaxes{->}(0,0)(-4.4,-4.9)(1,2.5)[$x$,0][$y$,90]

psplot{-3.9}{.5}{f}

end{pspicture}}

end{document}