Mean-Value Theorem
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The mean-value theorem states that if f(x) is differentiable on the open interval (a, b) and continuous on the closed interval [a, b], there is at least one point c in (a, b) such that (b - a) f'(c) = f(b) - f(a).
Mean-value theorem is a college-level concept that would be first encountered in a Calculus I course. It is an Advanced Placement Calculus AB topic and is listed in the California State Standards for Calculus.
Prerequisites
| Derivative: | A derivative is the infinitesimal rate of change in a function with respect to one of its parameters. |