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 $f(x,y,z) = \cos \left(\frac{y}{x}\right)$, $g(x,y,z) = \sqrt[3]{x z}$, and $h(x,y,z) = \frac{z^5}{y^5}$
from sympy import *
from sympy.abc import x, y, z

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