5.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{bb1becd5-96c1-426d-9b85-4bbc4a61af27-10_678_1076_248_434}
\captionsetup{labelformat=empty}
\caption{Figure 2}
\end{figure}
Figure 2 shows a sketch of part of the curve with equation
$$y = 27 \sqrt { x } - 2 x ^ { 2 } , \quad x \in \mathbb { R } , x > 0$$
- Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\)
The curve has a maximum turning point \(P\), as shown in Figure 2.
- Use the answer to part (a) to find the exact coordinates of \(P\).