Problem:
Find the curl of the vector field $f(x,y,z)\uvec{i} + g(x,y,z)\uvec{j} + h(x,y,z)\uvec{k}$ where $f(x,y,z) = \cos ^{-1}(x+z)$, $g(x,y,z) = \sqrt[3]{\frac{x}{y}}$, and $h(x,y,z) = \frac{1}{\sqrt{z}}$
from sympy import *
from sympy.vector import *

C = CoordSys3D('C')
x, y, z = C.x, C.y, C.z
f = acos(x+z)
g = cbrt(x/y)
h = cbrt(x/y)
print(curl(f * C.i + g * C.j + h * C.k))

