In mathematics, the mean value theorem states, roughly: that given a planar arc between two endpoints, there is at least one point at which the tangent to the arc is parallel to the secant through its endpoints. The theorem is used to prove global statements about a function on an interval starting from local hypotheses about derivatives at points...
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http://en.wikipedia.org/wiki/Mean_value_theorem
[divided differences] In mathematical analysis, the mean value theorem for divided differences generalizes the mean value theorem to higher derivatives. ==Applications== The theorem can be used to generalise the Stolarsky mean to more than two variables. ...
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http://en.wikipedia.org/wiki/Mean_value_theorem_(divided_differences)
theorem in mathematical analysis dealing with a type of average useful for approximations and for establishing other theorems, such as the ...
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http://www.britannica.com/eb/a-z/m/60
If a function f(x) is continuous on a closed interval [a,b] and differentiable on the open interval (a,b), then there exists some c in the interval [a,b] for which
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https://www.cliffsnotes.com/test-prep/high-school/tools-and-resources/calcu
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