The Mean Value Theorem Explained, Part 2 of 2
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Lesson Summary:
In this lesson, part two of the Mean Value Theorem explanation, we focus on finding the numbers that satisfy the theorem. Using a particular function, we go through the steps of finding f prime of c and f of b minus f of a over b minus a, and then setting them equal to each other to solve for c. We end up with only one value for c, which is the point on the curve where the slope is the same as the secant line connecting the endpoints of the domain.
Lesson Description:
Part 2 of an explanation of the Mean Value Theorem.
Produced by Kent Murdick
Instructor of Mathematics
University of South Alabama
Questions answered by this video:
- What is the Mean Value Theorem?
- How can you use the Mean Value Theorem to find values of c?
- Why is the Mean Value Theorem useful?
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Staff Review
In the second part of this Mean Value Theorem explanation, some applications are shown to find some values of c that satisfy the theorem on an actual curve. This video really shows why the Mean Value Theorem is useful. -
robg55
This video including the part.1., does a good job putting a explaination o the mean value theorem. He starts by telling you what it is then breaks it down into parts making it easy to understand.
