Student[MultivariateCalculus][GradientTutor] - plot or animate the gradient(s)
Calling Sequence
GradientTutor()
GradientTutor(f(x,y), [x,y]=[a,b], x=xmin..xmax, y=ymin..ymax, z=zmin..zmax)
GradientTutor(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], [c, d], ..]
(optional) point(s) at which the gradient is evaluated; list or list of lists
xmin..xmax, ymin..ymax, zmin..zmax
(optional) ranges for plot
Description
The GradientTutor command launches a tutor interface that computes, plots, and animates the gradient(s) of a function.
The values of f(a,b), f(c,d),.. and grad(f) at [a,b],[c,d],.. are calculated and displayed in the tutor interface.
If f(x,y) and [x,y]=[[a,b],[c,d],..] are not specified, GradientTutor uses defaults.
The Gradient command offers equivalent capabilities to GradientTutor where interaction takes place in the worksheet interface. See the Student[MultivariateCalculus][Gradient] help page.
To change the default colors of the plot objects, see the Student[SetColors] help page.
When the GradientTutor is running, interaction with the worksheet is not possible.
Examples
with⁡StudentMultivariateCalculus:
GradientTutor⁡
GradientTutor⁡x2+y2,x,y=1,2,x=−2..6,z=0..15
GradientTutor⁡x2+y2,x,y=1,2,3,5
See Also
Student, Student[MultivariateCalculus], Student[MultivariateCalculus][Gradient]
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