The FunctionSlopePlot(f, pt) command displays a plot that demonstrates the estimation of a tangent line using successive secant approximations.

The optional parameters opts specify the desired options for the resulting plot.  The available options are:

animation = true/false

Specifies whether to animate the plot. By default, this is set to true.

functionoptions = list

Specifies the plot options for f.

limitlineoptions = list

Specifies the plot options for the tangent line.

limitpointoptions = list

Specifies the plot options for the point pt.

lineoptions = list

Specifies the plot options for the secant lines.

pointoptions = list

Specifies the plot options for the point at which the secant meets f.

caption = anything

A caption for the plot.

The default caption is constructed from the parameters and the command options. caption = "" disables the default caption. For more information about specifying a caption, see plot/typesetting.

For information on including additional plot option(s), see the plot help page.

For information on how to change the default colors, see the Student [SetColors] help page.

$\mathrm{with}\left(\mathrm{Student}\left[\mathrm{Precalculus}\right]\right)\:$

$\mathrm{FunctionSlopePlot}\left(x^3+3x^2+x-3\,x=2\right)$

$\mathrm{FunctionSlopePlot}\left(x^2\,x=2\,'\mathrm{view}'=\left[-10..10\,-10..10\right]\,'\mathrm{animation}'='\mathrm{true}'\,'\mathrm{pointoptions}'=\left['\mathrm{color}'=\mathrm{blue}\right]\right)$