The mean value theorem states that if F(x) is a differentiable function on the interval [a, b], then there exists some number c between a and b such that

Explain why the mean value theorem implies that if a car averages 60 miles per hour in some 10-minute interval, then the car’s instantaneous velocity is 60 miles per hour at least once in that interval.

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F(b) - F(a) b - a F'(c) =