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Compute the gradients of \(c\) with respect to \(a\) and \(b\):
\begin{align*}
\pdv{c}{a} & = \pdv{a} ab = \pdv{a} 5a \eval{}_{b = 5} = 5 \\[1ex]
\pdv{c}{b} & = \pdv{b} ab = \pdv{b} 3b \eval{}_{a = 3} = 3
\end{align*}