Question: Use the following data and the knowledge that the first five derivatives of f are bounded on [1, 5] by 2, 3, 6, 12 and

Use the following data and the knowledge that the first five derivatives of f are bounded on [1, 5] by 2, 3, 6, 12 and 23, respectively, to approximate f'(3) as accurately as possible. Find a bound for the error.

f(x) 2.4142 2.6734 2.8974 3.09763.2804

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