# Ch 6: Rate of Change: Homework Help

### About This Chapter

## How it works:

- Identify which concepts are covered on your rate of change homework.
- Find videos on those topics within this chapter.
- Watch fun videos, pausing and reviewing as needed.
- Complete sample problems and get instant feedback.
- Finish your rate of change homework with ease!

## Topics from your homework you'll be able to complete:

- Velocity and the rate of change
- Slope and the rate of change
- Mean Value Theorem
- Rolle's Theorem
- Formal definition for derivatives
- Graphical representations of derivatives
- What it means to be differentiable

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

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### Other Chapters

Other chapters within the Calculus: Homework Help Resource course

- Graphing and Functions: Homework Help
- Continuity: Homework Help
- Geometry and Trigonometry in Calculus: Homework Help
- Using Scientific Calculators in Calculus: Homework Help
- Limits: Homework Help
- Calculating Derivatives and Derivative Rules: Homework Help
- Graphing Derivatives and L'Hopital's Rule: Homework Help
- Applications of Derivatives: Homework Help
- Area Under the Curve and Integrals: Homework Help
- Integration and Integration Techniques: Homework Help
- Integration Applications: Homework Help
- Differential Equations: Homework Help