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 $f(x,y,z) = \sqrt[3]{x}$, $g(x,y,z) = \tan ^{-1}\left(y^3\right)$, and $h(x,y,z) = \left(z^5-y^3\right)^2$
from sympy import *
from sympy.abc import x, y, z

f = cbrt(x)
g = atan(y**3)
h = (z**5-y**3)**2
X = Matrix([f, g, h]) 
print(X.jacobian((x, y, z)))
