The diff command extends the top level command diff in such a way that when v is a Vector, each component of v is differentiated. If v is anything else, then the top level diff is applied directly.

$\mathrm{with}\left(\mathrm{Student}:-\mathrm{MultivariateCalculus}\right)\:$

$v≔⟨x^2\,xy⟩$

$v≔\left[\begin{array}{c}{x}^2\\ xy\end{array}\right]$

$\frac{\partial }{\partial x}v$

$\left[\begin{array}{c}2x\\ y\end{array}\right]$

$\frac{{\partial }^2}{\partial y\partial x}v$

$\left[\begin{array}{c}0\\ 1\end{array}\right]$

The Student[MultivariateCalculus][diff] command was introduced in Maple 2016.

For more information on Maple 2016 changes, see Updates in Maple 2016.