Ch 15: Saxon Calculus: Concept of the Derivative

About This Chapter

The Concept of the Derivative chapter of this Saxon Calculus Companion Course aligns with the same chapter in the Saxon Calculus textbook. These simple and fun video lessons are about five minutes long and help you learn the essential lessons about how to calculate and graph derivatives.

How It Works:

  • Find the lesson within this chapter that corresponds to what you're studying in the Concept of the Derivative chapter of your textbook.
  • Watch fun videos that cover the calculus concepts you need to learn or review.
  • Complete the quiz after watching each video lesson to test your understanding.
  • If you need additional help, rewatch the videos until you've mastered the material, or submit a question for one of our instructors.

Chapter Topics

You'll learn all of the calculus topics covered in the textbook chapter, including:

  • Graphical representations of derivatives
  • How to calculate a derivative using limits
  • Formula for finding instantaneous rate of change of a function
  • How to prove the difference and sum rules
  • Use of rules of differentiation to calculate a derivative
  • How to find differentials of functions
  • Definition of 'differentiable'

Saxon is a registered trademark of Houghton Mifflin Harcourt, which is not affiliated with Study.com.

7 Lessons in Chapter 15: Saxon Calculus: Concept of the Derivative
Test your knowledge with a 30-question chapter practice test
Derivatives: Graphical Representations

1. 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.

Using Limits to Calculate the Derivative

2. Using Limits to Calculate the Derivative

If you know the position of someone as a function of time, you can calculate the derivative -- the velocity of that person -- as a function of time as well. Use the definition of the derivative and your knowledge of limits to do just that in this lesson.

Finding Instantaneous Rate of Change of a Function: Formula & Examples

3. Finding Instantaneous Rate of Change of a Function: Formula & Examples

In this lesson, you will learn about the instantaneous rate of change of a function, or derivative, and how to find one using the concept of limits from Calculus.

Proving the Sum & Difference Rules for Derivatives

4. Proving the Sum & Difference Rules for Derivatives

Proving a derivative rule leads to a better understanding of differentiating. In this lesson we show how to prove the sum and difference rules for derivatives.

Applying the Rules of Differentiation to Calculate Derivatives

5. Applying the Rules of Differentiation to Calculate Derivatives

In this lesson, we'll review common derivatives and their rules, including the product, quotient and chain rules. We'll also examine how to solve derivative problems through several examples.

Finding Differentials of Functions: Definition & Examples

6. Finding Differentials of Functions: Definition & Examples

Differentials are equations for tangent lines to a curve on a graph. In this lesson, we will discuss what a differential is and work some examples finding differentials of various functions.

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.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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