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 $f(x,y,z) = \frac{1}{x^2}$, $g(x,y,z) = \sqrt{y}$, and $h(x,y,z) = \sqrt{x}$
from sympy import *
from sympy.abc import x, y, z

f = (1/(x**2))
g = sqrt(y)
h = sqrt(x)
X = Matrix([f, g, h]) 
print(X.jacobian((x, y, z)))
