Mean Value Theorem - Mathematics & Logic - Pure Mathematics Dictionary Definition A theorem stating that if a function is continuous on [a,b] and differentiable on (a,b), then there exists c in (a,b) such that f'(c) = (f(b)-f(a))/(b-a), linking the average rate of change to an instantaneous derivative.
Mean Value Theorem - Mathematics & Logic - Pure Mathematics Dictionary Definition A theorem stating that if a function is continuous on [a,b] and differentiable on (a,b), then there exists c in (a,b) such that f'(c) = (f(b)-f(a))/(b-a), linking the average rate of change to an instantaneous derivative.