Lesson: The Mean Value Theorem Mathematics • Higher Education

In this lesson, we will learn how to interpret and use the mean value theorem and Rolle’s theorem.

Lesson Video

Sample Question Videos

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Lesson Worksheet

Q1:

Mason is not convinced that the mean value theorem is true because, he says, the function has the property that if we take and , we have , and yet there is no point where . What is his error?

Q2:

Madison is not convinced that the mean value theorem is true because, she says, the function is certainly differentiable on . But if we take and , we have , and yet there is no point where . What is her error?

Q3:

Does the mean value theorem apply for the function over the interval ?