Mean Value Theorem Examples | Calculus - JK Math

Example Problems for Using the Mean Value Theorem (Calculus)

In this video we look at examples of determining if the Mean Value Theorem can be applied to various functions. If it can be applied, we use it to determine values of c on the function, given an interval, where the derivative is equal to the slope between the two endpoints of the interval. If it cannot be applied, we determine why that is the case.

This course is designed to help students understand the concepts of calculus at a grounded level. No long, boring, and unnecessary explanations, just what you need to know at a reasonable and digestible pace, with each lesson under 20 minutes!

Calculus requires a solid understanding of precalculus and algebra concepts and techniques including factoring, equation manipulation, trigonometric equations, logarithms, finding slope, graphing, and many more. If you are not familiar with these prerequisite topics, be sure to learn them first!

Video Chapters:
0:00 Example 1 - f(x) = x^2 on [-2,3]
3:31 Example 2 - f(x) = x^3-x^2-2x on [-1,1]
8:30 Example 3 - f(x) = abs(2x+1) on [-1,2]
10:40 Example 4 - f(x) = tan(x) on [0,pi]
12:07 Example 5 - f(x) = (x+1)/x on [1/2,2]

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-Josh from JK Math

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