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 $f(x,y,z) = x^4$, $g(x,y,z) = \sqrt[3]{y z}$, and $h(x,y,z) = \sin (y z)$
Answer:
$4 x^3+\frac{z}{3 \sqrt[3]{y z}^2}+y \cos (y z)$
{'source': 'AMPS', 'file': 'amps/mathematica/calculus/divergence/28318.txt'}