# MA.912.C.2.10

Apply the Mean Value Theorem.

### Examples

Example: At a car race, two cars join the race at the same point at the same time. They finish the race in a tie. Prove that sometime during the race, the two cars had exactly the same speed. (Hint: Define f(t), g(t), and h(t), where f(t) is the distance that Car A has traveled at time t; g(t) is the distance that Car B has travelled at time t; and h(t)=f(t)-g(t).)
General Information
Subject Area: Mathematics (B.E.S.T.)
Strand: Calculus
Status: State Board Approved

## Related Courses

This benchmark is part of these courses.
1202300: Calculus Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))

## Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.

## Related Resources

Vetted resources educators can use to teach the concepts and skills in this benchmark.

## Tutorials

Mean Value Theorem:

We will learn the meaning of the Mean Value Theorem.

Type: Tutorial

Mean Value Theorem:

In this video we will take an in depth look at the Mean Value Theorem.

Type: Tutorial

## Student Resources

Vetted resources students can use to learn the concepts and skills in this benchmark.

## Tutorials

Mean Value Theorem:

We will learn the meaning of the Mean Value Theorem.

Type: Tutorial

Mean Value Theorem:

In this video we will take an in depth look at the Mean Value Theorem.

Type: Tutorial

## Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this benchmark.