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 $f(x,y,z) = \log \left(\frac{z^5}{x}\right)$, $g(x,y,z) = \cos \left(\frac{x}{z^5}\right)$, and $h(x,y,z) = \tan \left(z^5\right)$
from sympy import *
from sympy.abc import x, y, z

f = log(((z**5)/x))
g = cos((x/(z**5)))
h = tan(z**5)
X = Matrix([f, g, h]) 
print(X.jacobian((x, y, z)))
