Students were asked to evaluate f (4) from the following table which shows values of the

Chapter 0, Problem 49

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Students were asked to evaluate f (4) from the following table which shows values of the function f: x 1 2 3 4 5 6 f(x) 4.2 4.1 4.2 4.5 5.0 5.7 Student A estimated the derivative as f (4) f(5) f(4) 5 4 = 0.5. Student B estimated the derivative as f (4) f(4) f(3) 4 3 = 0.3. Student C suggested that they should split the difference and estimate the average of these two results, that is, f (4) 1 2 (0.5+0.3) = 0.4.

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