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 $f(x,y,z) = y$, $g(x,y,z) = \sin ^{-1}(x)$, and $h(x,y,z) = x+z^5$
from sympy import *
from sympy.abc import x, y, z

f = y
g = asin(x)
h = x+z**5
X = Matrix([f, g, h]) 
print(X.jacobian((x, y, z)))
