5 In Fig. 5, A and B are the points on the curve \(y = 2 ^ { x }\) with \(x\)-coordinates 3 and 3.1 respectively.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{a2188eac-08f7-4e75-a76d-fe35b13a2e5f-2_700_728_1197_705}
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\caption{Fig. 5}
\end{figure}
- Find the gradient of the chord AB . Give your answer correct to 2 decimal places.
- Stating the points you use, find the gradient of another chord which will give a closer approximation to the gradient of the tangent to \(y = 2 ^ { x }\) at A .