Average Value Theorems for Real Functions of One Variable

Jaroslaw Kotowicz

Warsaw University, Bialystok

Konrad Raczkowski

Warsaw University, Bialystok

Pawel Sadowski

Warsaw University, Bialystok

Summary.

Three basic theorems in differential calculus of one variable functions are presented: Rolle Theorem, Lagrange Theorem and Cauchy Theorem. There are also direct conclusions.

Supported by RPBP.III-24.C8.

MML Identifier: ROLLE

Contents (PDF format)

Bibliography

[1] Grzegorz Bancerek. The ordinal numbers. Journal of Formalized Mathematics, 1, 1989.

[2] Krzysztof Hryniewiecki. Basic properties of real numbers. Journal of Formalized Mathematics, 1, 1989.

[3] Jaroslaw Kotowicz. Real sequences and basic operations on them. Journal of Formalized Mathematics, 1, 1989.

[4] Jaroslaw Kotowicz. Partial functions from a domain to a domain. Journal of Formalized Mathematics, 2, 1990.

[5] Jaroslaw Kotowicz. Properties of real functions. Journal of Formalized Mathematics, 2, 1990.

[6] Konrad Raczkowski and Pawel Sadowski. Real function continuity. Journal of Formalized Mathematics, 2, 1990.

[7] Konrad Raczkowski and Pawel Sadowski. Real function differentiability. Journal of Formalized Mathematics, 2, 1990.

[8] Konrad Raczkowski and Pawel Sadowski. Topological properties of subsets in real numbers. Journal of Formalized Mathematics, 2, 1990.

[9] Andrzej Trybulec. Tarski Grothendieck set theory. Journal of Formalized Mathematics, Axiomatics, 1989.

[10] Andrzej Trybulec. Subsets of real numbers. Journal of Formalized Mathematics, Addenda, 2003.

[11] Zinaida Trybulec. Properties of subsets. Journal of Formalized Mathematics, 1, 1989.

[12] Edmund Woronowicz. Relations defined on sets. Journal of Formalized Mathematics, 1, 1989.