First, second and third derivative of a vector function

Question

I can define the following vector function

f(x, y, z) = [x² - 1, x³ + y², z]

In MatLab or in Maple.

I want to find (and evaluate) the first, second and third derivatives of it. How to find: ∇f, ∇²f and ∇³f? Here vector function f is differentiated with respect to vector (x, y, z). I can do the simple job of finding ∇f with Maple as follows:

f(x, y, z) = [x² - 1, x³ + y², z]

∇f = Jacobian(f, [x, y, z])

But how to differentiate ∇f?

Is there a function in MatLab (or in Maple) which may take the above function as an input and evaluate its derivatives for a given value of (x, y, z)?