Problem:
Find the jacobian of the vector valued function $\begin{pmatrix} f(x,y,z)\\ g(x,y,z) \\ h(x,y,z)\end{pmatrix}$ where $f(x,y,z) = y^3$, $g(x,y,z) = \sin (z)$, and $h(x,y,z) = \frac{1}{\sqrt{y+z}}$
Answer:
$\left(
\begin{array}{ccc}
 0 & 3 y^2 & 0 \\
 0 & 0 & \cos (z) \\
 0 & -\frac{1}{2 (y+z)^{3/2}} & -\frac{1}{2 (y+z)^{3/2}} \\
\end{array}
\right)$
{'source': 'AMPS', 'file': 'amps/mathematica/calculus/jacobian/19582.txt'}