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Latihan 2 Soal 1 (a). Compute numerical approximations for the derivative , using step sizes , include the details. (b). Compute numerical approximations for the derivatives , using step sizes . (c). Plot the numerical approximation over the interval . Compare it with the graph of over the interval . Soal 2. 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 3. Investigate the behavior of then the error bound is reduced by . If the step size is reduced by a factor of . This is the behavior. Soal 4 Given derivative , find numerical approximations to the , using two points and the forward difference formula. Soal 5 Given derivative , find numerical approximations to the , using two points and the forward difference formula. Terima kasih