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 $f(x,y,z) = \log \left(x^5\right)$, $g(x,y,z) = \tan ^{-1}\left(z^5 \left(x^5-y^2\right)\right)$, and $h(x,y,z) = e^{z^5}$
Answer:
$-\frac{2 y z^5}{z^{10} \left(x^5-y^2\right)^2+1}+\frac{5}{x}+5 e^{z^5} z^4$
{'source': 'AMPS', 'file': 'amps/mathematica/calculus/divergence/31206.txt'}