Problem:
Find the jacobian of the vector valued function $\begin{pmatrix} f(x,y,z)\\ g(x,y,z) \\ h(x,y,z)\end{pmatrix}$ where $f(x,y,z) = z^{3/2}$, $g(x,y,z) = -\tan ^{-1}(y-z)$, and $h(x,y,z) = \frac{1}{\sqrt{z}}$
from sympy import *
from sympy.abc import x, y, z

f = z**(3/2)
g = -atan(y-z)
h = (1/(sqrt(z)))
X = Matrix([f, g, h]) 
print(X.jacobian((x, y, z)))
