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 $f(x,y,z) = \frac{1}{\sqrt{x}}$, $g(x,y,z) = \cos (x)$, and $h(x,y,z) = \sinh ^{-1}(x+z)$
Answer:
$\frac{1}{\sqrt{(x+z)^2+1}}-\frac{1}{2 x^{3/2}}$
{'source': 'AMPS', 'file': 'amps/mathematica/calculus/divergence/3154.txt'}