Theorem 10 (Error)

If [Maple Math] with [Maple Math] are a set of [Maple Math] distinct points with [Maple Math] in the interval [Maple Math] and where the [Maple Math] for [Maple Math] , and [Maple Math] and its first [Maple Math] derivatives are continuous over [Maple Math] , then for each [Maple Math] in the interval [Maple Math] , a number [Maple Math] exists in ( [Maple Math] ) with [Maple Math] ,with [Maple Math] the Lagrange Polynomial.