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

withStudent[MultivariateCalculus]:

TaylorApproximationTutor

TaylorApproximationTutorsinx+y,x,y=1,2,8

TaylorApproximationTutorxy,x,y=1,2,8,x=3..3,y=3..3

See Also

Student, Student[MultivariateCalculus], Student[MultivariateCalculus][TaylorApproximation]


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