Problem:
Find the divergence of the vector field $f(x,y,z)\uvec{i} + g(x,y,z)\uvec{j} + h(x,y,z)\uvec{k}$ where $f(x,y,z) = x^3$, $g(x,y,z) = \sqrt{y}$, and $h(x,y,z) = \sqrt[3]{\frac{z^2}{y}}$
from sympy import *
from sympy.vector import *

C = CoordSys3D('C')
x, y, z = C.x, C.y, C.z
f = x**3
g = sqrt(y)
h = cbrt((z**2)/y)
field = f * C.i + g * C.j + h * C.k
print(divergence(field))
