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 $f(x,y,z) = \frac{y}{x z}$, $g(x,y,z) = \tanh ^{-1}(z)$, and $h(x,y,z) = \sqrt[3]{\frac{y}{x}}$
from sympy import *
from sympy.abc import x, y, z

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