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 $f(x,y,z) = \cos (x)$, $g(x,y,z) = e^y$, and $h(x,y,z) = z^5$
Answer:
$\left(
\begin{array}{ccc}
 -\sin (x) & 0 & 0 \\
 0 & e^y & 0 \\
 0 & 0 & 5 z^4 \\
\end{array}
\right)$
{'source': 'AMPS', 'file': 'amps/mathematica/calculus/jacobian/36161.txt'}