Student[MultivariateCalculus][DirectionalDerivativeTutor] - plot or animate the directional derivative
Calling Sequence
DirectionalDerivativeTutor()
DirectionalDerivativeTutor(f(x,y), [x,y]=[a,b], [c,d], x=xmin..xmax, y=ymin..ymax, z=zmin..zmax)
Parameters
f(x, y)
-
(optional) algebraic function in two variables
[x, y]
(optional) name of the variables
[a, b]
(optional) point at which the gradient is evaluated
[c, d]
(optional) direction Vector
xmin..xmax, ymin..ymax, zmin..zmax
(optional) ranges for plot
Description
The DirectionalDerivativeTutor command launches a tutor interface that computes, plots, and animates the directional derivative of a function.
If f(x,y), [x,y]=[a,b], and [c,d] are not specified, DirectionalDerivativeTutor uses defaults.
The DirectionalDerivative command offers equivalent capabilities to DirectionalDerivativeTutor where interaction takes place in the worksheet interface. See the Student[MultivariateCalculus][DirectionalDerivative] help page.
To change the default colors of the plot objects, see the Student[SetColors] help page.
When the DirectionalDerivativeTutor is running, interaction with the worksheet is not possible.
Examples
withStudentMultivariateCalculus:
DirectionalDerivativeTutor
DirectionalDerivativeTutorx2+y2,x,y=1,2,2,3
DirectionalDerivativeTutorx2+y2,x,y=1,2,2,3,x=−1..5,y=0..6,z=0..16
See Also
Student, Student[MultivariateCalculus], Student[MultivariateCalculus][DirectionalDerivative]
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