5 The equation of a curve is \(y = \sqrt { 1 + 2 x }\).
- Calculate the gradient of the chord joining the points on the curve where \(x = 4\) and \(x = 4\). Give your answer correct to 4 decimal places.
- Showing the points you use, calculate the gradient of another chord of the curve which is a closer approximation to the gradient of the curve when \(x = 4\).
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{f540b962-ee6b-409a-a2a1-cd7ad4945514-2_1031_1113_273_499}
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\caption{Fig. 5}
\end{figure}
Fig. 5 shows the graph of \(y = 2 ^ { x }\).