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18 December, 17:44

Let f be the function defined by f (x) = x + lnx. What is the value of c for which the instantaneous rate of change of f at x = c is the same as the average rate of change of f over [1, 4]?

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  1. 18 December, 17:58
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    I think the average rate of change is f (4) - f (1) / 4-1, and instantaneous one is f' (x), but they never equal? the previous one is negative. the latter one is positive?
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