Home » Courses » Mathematics » Single Variable Calculus » 2. Applications of Differentiation » Part C: Mean Value Theorem, Antiderivatives and Differential Equa » Session 34: Introduction to the Mean Value Theorem
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.
Generalizing the Mean Value Theorem