18.01SC | Fall 2010 | Undergraduate

Single Variable Calculus

Part C: Mean Value Theorem, Antiderivatives and Differential Equations

Session 34: Introduction to the Mean Value Theorem

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The mean value theorem tells us (roughly) that if we know the slope of the secant line of a function whose derivative is continuous, then there must be a tangent line nearby with that same slope. This lets us draw conclusions about the behavior of a function based on knowledge of its derivative.

Lecture Video and Notes

Video Excerpts

Clip 1: Description of the Mean Value Theorem

Clip 2: Consequences of the Mean Value Theorem

Recitation Video

Increasing or Decreasing

Worked Example

Generalizing the Mean Value Theorem

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Course Info

As Taught In
Fall 2010
Learning Resource Types
Exams with Solutions
Lecture Notes
Lecture Videos
Problem Sets with Solutions
Recitation Videos