Let be Differentiable on the Open Interval and Continuous on
the Closed Interval . Then there is at least one point in such that
See also Extended Mean-Value Theorem, Gauss's Mean-Value Theorem
References
Gradshteyn, I. S. and Ryzhik, I. M. Tables of Integrals, Series, and Products, 5th ed. San Diego, CA:
Academic Press, pp. 1097-1098, 1993.