Let I be a function that is differentiable on [a, b]. In

Chapter 5, Problem 5.73

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Let I be a function that is differentiable on [a, b]. In Cbapter 2 we defmed the average rate of change of lover [a, b] to be I(b) - I(a) b-a and the instantaneous rate of change of I atx to be f'(x) . 1n this chapter we defmed the average va1ue of a function. For the new definition of average to be consistent with the old one, ..., should have I(b) - I(a) b _ a average value of f' on [a, b]. Is this the case? Give reasons for your answer.

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