Second Edition & lt Introduction to Analysis & gt Author James R. kirkwood

Mean value theorem

(Rolle's Theorem): Suppose f is continuous on [a, b] and differentiable on (a, b). If f(a)=f(b), then there is a number c, a<c<b, where f '(c)=0.

(Mean Value Theorem): Suppose f is continuous on [a, b] and differentiable on (a, b). If so, then there is a number c, a<c<b, where f '(c)=[f(b)-f(a)]/(b-a).