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 $f(x,y,z) = \sinh ^{-1}(y+z)$, $g(x,y,z) = z$, and $h(x,y,z) = z$
Answer:
$\left(
\begin{array}{ccc}
 0 & \frac{1}{\sqrt{(y+z)^2+1}} & \frac{1}{\sqrt{(y+z)^2+1}} \\
 0 & 0 & 1 \\
 0 & 0 & 1 \\
\end{array}
\right)$
{'source': 'AMPS', 'file': 'amps/mathematica/calculus/jacobian/33066.txt'}