plot or animate the gradient(s) - Maple Programming Help

Home : Support : Online Help : Education : Student Packages : Multivariate Calculus : Interactive : Student/MultivariateCalculus/GradientTutor

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

 > $\mathrm{with}\left(\mathrm{Student}\left[\mathrm{MultivariateCalculus}\right]\right):$
 > $\mathrm{GradientTutor}\left(\right)$
 > $\mathrm{GradientTutor}\left({x}^{2}+{y}^{2},\left[x,y\right]=\left[1,2\right],x=-2..6,z=0..15\right)$
 > $\mathrm{GradientTutor}\left({x}^{2}+{y}^{2},\left[x,y\right]=\left[\left[1,2\right],\left[3,5\right]\right]\right)$