Use the following data and the knowledge that the first five derivatives of / are

Chapter 4, Problem 13

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Use the following data and the knowledge that the first five derivatives of / are bounded on [1, 5J by 2, 3, 6, 12, and 23, respectively, to approximate /'(3) as accurately as possible. Find a bound for the error. X 1 2 3 4 5 fix) 2.4142 2.6734 2.8974 3.0976 3.2804

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