Answer
\begin{align*}
(a)&g_k= 3k^2 m^5-2m\\
(b)&g_m= 5k^3 m^4-2k\\
(c)&g_m\bigg|_{k=2} = 40 m^4-8\\
\end{align*}
Work Step by Step
Given $$g(k, m)=k^{3} m^{5}-2 k m$$
Since
\begin{align*}
(a)&g_k= 3k^2 m^5-2m\\
(b)&g_m= 5k^3 m^4-2k\\
(c)&g_m\bigg|_{k=2} = 40 m^4-8\\
\end{align*}
