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

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