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 $f(x,y,z) = \left(\frac{x}{y^3}-z\right)^{3/2}$, $g(x,y,z) = \tanh \left(y^3\right)$, and $h(x,y,z) = \sqrt{y^3}$
from sympy import *
from sympy.vector import *

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