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What is mean value theorem?

What is mean value theorem? Here are some definitions.

Noun
  1. (mathematics) Any of various theorems that saliently concern mean values.
  2. (calculus) The theorem that for any real-valued function that is differentiable on an interval, there is a point in that interval where the derivative of the curve equals the slope of the straight line between the graphed function values at the interval's end points.
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