Maple Tool3.mws

Section 2.4

Maple Tool 3

This Maple file is configured to graph the approximate derivative of     f(t) = e^(k*t)  and to determine how the derivative is related to   f   itself .  

Enter the value of   k    (initially set to 1).

>    k:=4;

>    f:=t->exp(k*t);

>    g:=t->(f(t+0.001)-f(t))/0.001;

>    h:=t->g(t)/f(t);

k := 4

f := proc (t) options operator, arrow; exp(k*t) end proc

g := proc (t) options operator, arrow; (f(t+.1e-2)-f(t))/.1e-2 end proc

h := proc (t) options operator, arrow; g(t)/f(t) end proc

Plot the functions   f,   g , and h .

>    plot([f(t),g(t),h(t)], t=-2..2, y=0..8, color=[red,blue,green]);

[Maple Plot]

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