Ch 20: Saxon Calculus: Computation of Derivatives

About This Chapter

The Computation of Derivatives 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 derivatives of various types of functions.

How It Works:

  • Find the lesson within this chapter that corresponds to what you're studying in the Computation of Derivatives 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:

  • Overview of computing derivatives
  • Calculations with constant and polynomial functions
  • Computing derivatives of differences, products, sums and more
  • Calculating derivatives of exponential, logarithmic, trig functions and more
  • Computations with higher order derivatives and absolute value functions
  • Understanding implicit differentiation and using the chain rule
  • Using substitution with difficult integrals
  • Computing derivatives with logarithmic differentiation
  • Finding derivatives of polar, vector and parametric functions

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

14 Lessons in Chapter 20: Saxon Calculus: Computation of Derivatives
Test your knowledge with a 30-question chapter practice test
How to Compute Derivatives

1. How to Compute Derivatives

This lesson will briefly review what the derivative of a function is. Then we will look at the limit definition of a derivative, use it to compute derivatives, and look at a few shortcuts that result from the limit definition of derivatives.

Calculating Derivatives of Constant Functions

2. Calculating Derivatives of Constant Functions

In calculus, one of the primary tasks is to find the derivative of a function. Different types of functions require different techniques to find their derivative. This lesson will cover the simple process to find derivatives of constant functions.

Calculating Derivatives of Polynomial Equations

3. Calculating Derivatives of Polynomial Equations

Polynomials can describe just about anything and are especially common in describing motion. Learn the tricks to quickly finding the derivatives of these ubiquitous functions.

Finding Derivatives of Sums, Products, Differences & Quotients

4. Finding Derivatives of Sums, Products, Differences & Quotients

This lesson will go over how to find the derivative of a sum, difference, product, and quotient. We will look at the different formulas involved in these derivatives and use those formulas to calculate some derivatives.

Calculating Derivatives of Exponential Equations

5. Calculating Derivatives of Exponential Equations

Earth's population is booming! But why is the population increasing so much more drastically than it did many years ago? In this lesson, learn how to calculate the rates of change in exponentials by discovering the rules of derivatives with exponents.

Calculating Derivatives of Logarithmic Functions

6. Calculating Derivatives of Logarithmic Functions

Logarithms appear in all types of applications like carbon dating, brightness of stars and musical acoustics. In this lesson we explore how to calculate the derivative of logarithmic functions.

Calculating Derivatives of Trigonometric Functions

7. Calculating Derivatives of Trigonometric Functions

The trigonometric functions show up almost everywhere that you have a repeating pattern. In this lesson, learn how to find the derivatives of the trigonometric functions.

How to Calculate Derivatives of Inverse Trigonometric Functions

8. How to Calculate Derivatives of Inverse Trigonometric Functions

Like a metronome, trigonometric functions are regular. Even predictable. In this lesson, you will learn how to use this predictability to remember the derivative formulas for these common functions.

Calculating Derivatives of Absolute Value Functions

9. Calculating Derivatives of Absolute Value Functions

A fundamental distance measure in math, science, and engineering is the absolute value. In this lesson, we will explore the differentiation of absolute value functions.

Calculating Higher Order Derivatives

10. Calculating Higher Order Derivatives

Differentiating functions doesn't have to stop with the first or even second derivative. Learn what a mathematical jerk is as you calculate derivatives of any order in this lesson.

Implicit Differentiation: Examples & Formula

11. Implicit Differentiation: Examples & Formula

This lesson will take you through the method of implicit differentiation with multiple examples and a quiz at the end to test your knowledge. Implicit differentiation utilizes all of your basic derivative rules to find the derivative of equations that are not in standard form.

Substitution Techniques for Difficult Integrals

12. Substitution Techniques for Difficult Integrals

Up, down. East, West. Opposites are everywhere. In this lesson, learn how you can think of substitution for integration as the opposite of the chain rule of differentiation.

Using the Chain Rule to Differentiate Complex Functions

13. Using the Chain Rule to Differentiate Complex Functions

If you've ever seen a complicated function, this lesson is for you. Most functions that we want to differentiate are complicated functions, for which no single derivative rule will work. In this lesson, learn how to use the chain rule to simplify nesting equations.

Using Logarithmic Differentiation to Compute Derivatives

14. Using Logarithmic Differentiation to Compute Derivatives

In this lesson, we will explore logarithmic differentiation and show how this technique relates to certain types of functions. Using two examples, we will learn how to compute derivatives using this differentiation method.

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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