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PERTEMUAN 9-10 OFC Soal 1. Consider the function . Find the formula for the fourth derivative , it will be used in our explorations for the remainder term and the truncation error bound. Graph . Find the bound . Look at it's graph and estimate the value , be sure to take the absolute value if necessary. Soal 2 (a). Compute numerical approximations for the derivatives , using step sizes . (b). Plot the numerical approximation over the interval . Compare it with the graph of over the interval . Soal 3 (a). Compute numerical approximations for the derivatives , using step sizes . (b). Plot the numerical approximation over the interval Compare it with the graph of over the interval . . Soal 4. Plot the absolute error over the interval , and estimate the maximum absolute error over the interval. (a). Compute the error bound and observe that over . (b). Since the function f[x] and its derivative is well known, and we have the graph for , we can observe that the maximum error on the given interval occurs at x=0. Thus we can do better that "theory", we see that over . Soal 5. Investigate the behavior of then the error bound is reduced by . If the step size is reduced by a factor of . This is the Terima kasih behavior.