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 $f(x,y,z) = \log (x)$, $g(x,y,z) = \frac{z}{y}$, and $h(x,y,z) = (x y)^{3/2}$
from sympy import *
from sympy.abc import x, y, z

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