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Ch 41: MTTC Math (Secondary): Rate of Change & Derivatives

About This Chapter

As you study for the MTTC Mathematics (Secondary) exam, use this chapter to improve your understanding of rates of changes in velocity and slopes, mean value theorem, Rolle's theorem and derivatives.

MTTC Math (Secondary): Rate of Change & Derivatives - Chapter Summary

Watch the short, engaging lesson videos of this chapter as you prepare for the MTTC Mathematics (Secondary) exam to improve your understanding of rate of change and derivatives. These lessons are taught by expert instructors who will explain:

  • Rates of changes in velocity and slopes
  • The mean value theorem and Rolle's theorem
  • Derivatives and being 'differentiable'

Ensure you're ready for the MTTC Math (Secondary) exam by testing your retention of the information presented in these lessons with the assessments that accompany these videos. When you've found topics you don't fully understand, return to the lessons to improve your mastery over them. Use video tags to skip over the topics you already know or read the lesson transcripts for an alternative review of the material.

7 Lessons in Chapter 41: MTTC Math (Secondary): Rate of Change & Derivatives
Test your knowledge with a 30-question chapter practice test
Velocity and the Rate of Change

1. Velocity and the Rate of Change

Running from your little sister or just window-shopping, your speed is just a measure of how fast you move, or how your position is changing over time. In this lesson, learn about how velocity is a rate of change.

Slopes and Rate of Change

2. Slopes and Rate of Change

If you throw a ball straight up, there will be a point when it stops moving for an instant before coming back down. Consider this as we study the rate of change of human cannonballs in this lesson.

What is the Mean Value Theorem?

3. What is the Mean Value Theorem?

Three people set off on a car trip. They all start at the same time and end at the same time. Learn what calculus says about how fast they traveled along the way as you study the Mean Value Theorem in this lesson.

Rolle's Theorem: A Special Case of the Mean Value Theorem

4. Rolle's Theorem: A Special Case of the Mean Value Theorem

Super C, the human cannonball, is shot into the air at 35 mph, but his average vertical velocity is zero. In this lesson, you will use Rolle's theorem to explain what this means about Super C's flight.

Derivatives: The Formal Definition

5. Derivatives: The Formal Definition

The derivative defines calculus. In this lesson, learn how the derivative is related to the instantaneous rate of change with Super C, the cannonball man.

Derivatives: Graphical Representations

6. Derivatives: Graphical Representations

Take a graphical look at the definitive element of calculus: the derivative. The slope of a function is the derivative, as you will see in this lesson.

What It Means To Be 'Differentiable'

7. What It Means To Be 'Differentiable'

Lots of jets can go from zero to 300 mph quickly, but super-jets can do this instantaneously. In this lesson, learn what that means for differentiability.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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