plots
gradplot3d
plot a 3-D gradient vector field
Calling Sequence
Parameters
Description
Examples
gradplot3d(f, r1, r2, r3)
gradplot3d(f, r1, r2, r3,...)
f
-
function or set of function to be plotted
r1
range
r2
r3
A typical call to the gradplot3d function is gradplot3d(f, x=a..b, y=c..d, z=p..q), where f is a Maple expressions in x, y, and z, and a..b, c..d, and p..q specifies the axes ranges of the field. The result is a three dimensional vectorfield with the gradient vector evaluated at (x, y, z) located at this point.
A call to gradplot3d produces a PLOT3D data structure, which is then printed. For information on these data structures, see plot3d/structure.
Remaining arguments are interpreted as options which are specified as equations of the form option = value. In particular, the arrows, grid, fieldstrength, and clipping options listed on the fieldplot3d help page are available, and all other options are interpreted as by the plot3d command. For more information, see plot3d/option.
gradplot3d may be defined by with(plots) or with(plots,gradplot3d). It can also be used by the name plots[gradplot3d].
with⁡plots:
gradplot3d⁡x2+y2+z2+112,x=−2..2,y=−2..2,z=−2..2
gradplot3d⁡x2+2⁢y2+z+1,x=−1..1,y=−1..1,z=−1..1,grid=5,5,5
The command to create the plot from the Plotting Guide is
gradplot3d⁡sin⁡x⁢y⁢z,x=−π..π,y=−π..π,z=−π..π,grid=4,4,4,color=black,arrows=THICK
See Also
plot3d
plot3d/colorfunc
plot3d/option
plot3d/structure
Student[MultivariateCalculus][Gradient]
Student[VectorCalculus][Gradient]
VectorCalculus[Gradient]
Download Help Document