5.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{91b8965d-5003-4a64-b863-fb6af956abd3-3_534_686_248_475}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\end{figure}
Figure 1 shows the curve with equation \(y = 8 x - x ^ { \frac { 5 } { 2 } } , x \geq 0\).
The curve meets the \(x\)-axis at the origin, \(O\), and at the point \(A\).
- Find the \(x\)-coordinate of \(A\).
- Find the gradient of the tangent to the curve at \(A\).