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.
Part 2 of an explanation of the Mean Value Theorem.
Produced by Kent Murdick
Instructor of Mathematics
University of South Alabama