This lecture from M.I.T. is about 50 minutes long delivered by Professor David Jerison and covers the mean value theorem. It is aimed at undergraduate students.

These lectures will give you some idea of how this subject is treated at university level.

## Software/Applets used on this page

Free lecture notes, exams, and videos are available from Massachusetts Institute of Technology at MIT. No registration required.

## Glossary

### mean value theorem

the point at which the average rate of change equals the instantaneous rate of change

## This question appears in the following syllabi:

Syllabus | Module | Section | Topic | Exam Year |
---|---|---|---|---|

AP Calculus AB (USA) | 4 | Integration | The Mean Value Theorem | - |

AP Calculus BC (USA) | 4 | Integration | The Mean Value Theorem | - |

Methods (UK) | M9 | Integration | The Mean Value Theorem | - |

Universal (all site questions) | I | Integration | The Mean Value Theorem | - |