3.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{28839dd5-b9c1-4cbd-981e-8f79c43ba086-06_652_654_269_646}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\end{figure}
Figure 1 shows part of the curve with equation \(y = x ^ { 2 } + 3 x - 2\)
The point \(P ( 3,16 )\) lies on the curve.
- Find the gradient of the tangent to the curve at \(P\).
The point \(Q\) with \(x\) coordinate \(3 + h\) also lies on the curve.
- Find, in terms of \(h\), the gradient of the line \(P Q\). Write your answer in simplest form.
- Explain briefly the relationship between the answer to (b) and the answer to (a).