mean-value theorem
Mathematics
noun
An elementary theorem in mathematical analysis, which states that if a real function f(x) is continuous on the closed interval a ≦ x ≦ b and differentiable on the open interval a < x < b, then there is a point in the open interval at which the first derivative of the function is equal to f(b) − f(a)/b − a.
Origin
Early 20th century; earliest use found in Transactions of the American Mathematical Society.
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