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

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