Approximate ????(????(????))
????????
using forward,
backward, and central differences at ???? = 2. Use
????? = 0.1. Calculate the true relative error ????????
for
forward, backward, and central differences.
Which approximation is more accurate and why?
Note: the true value can be obtained be
differentiating the function ????(????) then evaluate the
results at ???? = 2

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\begin{tabular}{|c|c|c|} \hline \multirow{2}{*}{ Method } & \multicolumn{2}{|c|}{

? x = 0.1

} \\ \cline { 2 - 3 } & Approx. &

?_{t}

\\ \hline Backward & & \\ \hline Forward & & \\ \hline Central & & \\ \hline \end{tabular}

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