7.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{50ec901b-b6b6-4b72-85bd-a084f313c99b-16_648_822_296_561}
\captionsetup{labelformat=empty}
\caption{Figure 4}
\end{figure}
Figure 4 shows part of the curve with equation \(y = 2 x ^ { 2 } + 5\)
The point \(P ( 2,13 )\) lies on the curve.
- Find the gradient of the tangent to the curve at \(P\).
The point \(Q\) with \(x\) coordinate \(2 + h\) also lies on the curve.
- Find, in terms of \(h\), the gradient of the line \(P Q\). Give your answer in simplest form.
- Explain briefly the relationship between the answer to (b) and the answer to (a).