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 $f(x,y,z) = \frac{x y}{z}$, $g(x,y,z) = y^4$, and $h(x,y,z) = z^5$
from sympy import *
from sympy.abc import x, y, z

f = ((x*y)/z)
g = y**4
h = z**5
X = Matrix([f, g, h]) 
print(X.jacobian((x, y, z)))
