displaying symbolic gradient and divergence of vectors and tensors

I am looking for a way to calculate the divergence and gradient of vector fields without defining the exact expression for them; I mean getting the answer in the following form:

Is it possible to get such results by MATLAB?

Answer 1

[RICARDO DE BRAGANCA]

May not be exactly what you want but... you can do:

syms f(x1,x2,x3)

gradient(f)

and you will got:

ans(x1, x2, x3) =

diff(f(x1, x2, x3), x1)

diff(f(x1, x2, x3), x2)

diff(f(x1, x2, x3), x3)