plot or animate the Taylor approximation of a bivariate function - Maple Programming Help

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Student[MultivariateCalculus][TaylorApproximationTutor] - plot or animate the Taylor approximation of a bivariate function

 Calling Sequence TaylorApproximationTutor() TaylorApproximationTutor(f(x,y), [x,y]=[a,b], order, x=xmin..xmax, y=ymin..ymax)

Parameters

 f(x, y) - (optional) algebraic function in two variables [x, y] - (optional) name of the variables [a, b] - (optional) point around which the series is expanded order - (optional) integer; specify the order of the series xmin..xmax, ymin..ymax - (optional) ranges for plot

Description

 • The TaylorApproximationTutor command launches a tutor interface that computes, plots, and animates the Taylor approximation of a function.
 If f(x,y), [x,y]=[a,b], and order are not specified, TaylorApproximationTutor uses defaults.
 • The TaylorApproximation command offers equivalent capabilities to TaylorApproximationTutor where interaction takes place in the worksheet interface. See the Student[MultivariateCalculus][TaylorApproximation] help page.
 • To change the default colors of the plot objects, see the Student[SetColors] help page.
 • Note that the zmin..zmax optional range is no longer supported for this command. Use the Plot Options button in the Tutor to set the plot range of the third dimension.
 • When the TaylorApproximationTutor is running, interaction with the worksheet is not possible.

Examples

 > $\mathrm{with}\left(\mathrm{Student}[\mathrm{MultivariateCalculus}]\right):$
 > $\mathrm{TaylorApproximationTutor}\left(\right)$
 > $\mathrm{TaylorApproximationTutor}\left(\mathrm{sin}\left(x+y\right),\left[x,y\right]=\left[1,2\right],8\right)$
 > $\mathrm{TaylorApproximationTutor}\left(xy,\left[x,y\right]=\left[1,2\right],8,x=-3..3,y=-3..3\right)$