Grad¶

Gradient of a scalar field.

$ wo 'Grad[x^2 y, {x, y}]'
{2*x*y, x^2}

For a vector field the result is the Jacobian: row i is the gradient of the i-th component.

$ wo 'Grad[{x y, x + y}, {x, y}]'
{{y, x}, {1, 1}}

A third argument selects an orthogonal coordinate system, applying the appropriate scale factors.

$ wo 'Grad[r Cos[t], {r, t}, "Polar"]'
{Cos[t], -Sin[t]}

$ wo 'Grad[r^2 z, {r, t, z}, "Cylindrical"]'
{2*r*z, 0, r^2}