Chapter 5.1, Problem 1CP

Make a table of the error of the three-point centered-difference formula for $f^{\prime }\left(0\right)$, where $f\left(x\right)=\sin x-\cos x$, with $h={10}^{-1},\mathrm{...},{10}^{-12}$, as in the table in Section 5.1.2. Draw a plot of the results. Does the minimum error correspond to the theoretical expectation?