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

f = atan(x/y)
g = sqrt(y+z)
h = cbrt(z)
X = Matrix([f, g, h]) 
print(X.jacobian((x, y, z)))
