Plotting of Derivatives

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@interact

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def _(N=(9,1,-1)):

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    s1=r'<center><font color=%s size=5>'%'#3636ff'

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    s2=r'Derivatives till the %sth Order</font></center>'

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    var('x'); pretty_print(html(s1+s2%str(N)))

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    f,g=exp(x)*x,1/(x+1); F,G=[f],[g]

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    for i in range(N): 

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        f=f.diff().factor(); g=g.diff().factor()

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        F.append(f); G.append(g)

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    p1=sum([plot(F[i],(-2,1),color=colormaps.jet(30*i)[:3],

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                 legend_label=str(i)) for i in [0..N]])

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    p2=sum([plot(G[i],(0,3),color=colormaps.jet(30*i)[:3],

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                 legend_label=str(i)) for i in [0..N]])

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    p1.show(title=r'$f=x \cdot e^x$',fontsize=12,

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            figsize=(5,5),gridlines=True)

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    p2.show(title=r'$f=\frac{1}{x+1}$',fontsize=12,

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            figsize=(5,5),gridlines=True,ymin=-20,ymax=20)

Language: Sage Gap GP HTML Macaulay2 Maxima Octave Python R Singular

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