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 $f(x,y,z) = \sqrt{z}$, $g(x,y,z) = e^y$, and $h(x,y,z) = y^4 z^4$
import math

from sympy import *
from sympy.abc import x, y, z

f = sqrt(z)
g = math.e**y
h = y**4*z**4
X = Matrix([f, g, h]) 
print(X.jacobian((x, y, z)))
