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 $f(x,y,z) = \log \left(x^2\right)$, $g(x,y,z) = \sin ^{-1}\left(\frac{y^3}{z}\right)$, and $h(x,y,z) = \tan ^{-1}\left(x^2+y^3-z\right)$
from sympy import *
from sympy.abc import x, y, z

f = log(x**2)
g = asin((y**3)/z)
h = atan(x**2+y**3-z)
X = Matrix([f, g, h]) 
print(X.jacobian((x, y, z)))
