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 $f(x,y,z) = \sqrt[3]{x}$, $g(x,y,z) = \log \left(y^2-x\right)$, and $h(x,y,z) = z^3$
Answer:
$\frac{2 y}{y^2-x}+\frac{1}{3 \sqrt[3]{x}^2}+3 z^2$
{'source': 'AMPS', 'file': 'amps/mathematica/calculus/divergence/31412.txt'}