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Student[Precalculus]

  

FunctionSlopePlot

  

plot successive secant line approximations to the tangent line

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

FunctionSlopePlot(f, pt, opts)

Parameters

f

-

algebraic expression in at most one variable

pt

-

constant or expression of the form name=constant, where name is the indeterminate in f

opts

-

(optional) equation(s) of the form option=value, where option is one animation, functionoptions, limitlineoptions, limitpointoptions, lineoptions and pointoptions; specify output options

Description

• 

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.

Examples

withStudent[Precalculus]:

FunctionSlopePlotx3+3x2+x3,x=2

To play the following animation in this help page, right-click (Control-click, on Macintosh) the plot to display the context menu.  Select Animation > Play.

FunctionSlopePlotx2,x=2,'view'=10..10,10..10,'animation'='true','pointoptions'='color'=blue

See Also

plot/typesetting

Student

Student[Precalculus]

Student[Precalculus][FunctionSlopeTutor]

Student[Precalculus][VisualizationOverview]

 


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