Maple Tool 1
This tool is designed to be used in connection with the zooming plots in Section 4.8.
We are plotting a portion of the graph of from to for various values of together with the tangent line at . The corresponding is calculated. Zoom in by plotting the graphs with , , .01, and .001 (or your own choice of values for ).
> | y:=t->t^2; |
Modify the value of in the line below. Then plot the corresponding graph.
> | Deltat:=1: |
> | Deltay:=y(1+Deltat)-y(1): T:=t->1+2*(t-1): plot([y(t),T(t)],t=1..1+Deltat, view=[1..1+Deltat,1..1+Deltay], color=[red,blue]); print(`Delta t`, Deltat); print(`Delta y`, Deltay); |
> |