Given a function f(x) = 0.2e2x – 0.72x² – 0.19x + 3.11. Approximate the first derivative of the above function by using backward difference approximation, O(h²) at x = 1.13 by using 2 step sizes h = 0.125 and h = 0.25. ii. Given the true value of f'(1.13) is 2.0160. Calculate the percentage relative error of each step sizes in (i). ii. Based on your answer in (ii), there are a large number of percentage relative error for both step sizes. Give your suggestion on how to obtain a better approximation.

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