Ch 5: Derivatives of Functions in Business Calculus Lesson Plans

About This Chapter

The Derivatives of Functions in Business Calculus chapter of this course is designed to help you plan and teach function derivatives in your classroom. The video lessons, quizzes and transcripts can easily be adapted to provide your lesson plans with engaging and dynamic educational content. Make planning your course easier by using our syllabus as a guide.

Weekly Syllabus

Below is a sample breakdown of the Derivatives of Functions in Business Calculus chapter into a 5-day school week. Based on the pace of your course, you may need to adapt the lesson plan to fit your needs.

Day Topics Key Terms and Concepts Covered
Monday Marginal analysis Functions for marginal cost, revenue and profit; approximation formulas
Tuesday Derivatives of implicit functions Implicit functions, steps in implicit differentiation
Wednesday Exponential functions Definition of exponential functions and their graphs
Thursday Derivatives of exponential functions Derivative rules for exponential functions
Friday Graphs of derivatives Methods for finding continuous or discontinuous derivatives with a function's graph

5 Lessons in Chapter 5: Derivatives of Functions in Business Calculus Lesson Plans
Test your knowledge with a 30-question chapter practice test
Implicit Functions

1. Implicit Functions

Sometimes inputting a variable into a function 'black box' doesn't yield a simple output. Find out what happens when you can't isolate the dependent variable on one side of the equal sign.

How to Find Derivatives of Implicit Functions

2. How to Find Derivatives of Implicit Functions

How do you define the rate of change when your function has variables that cannot be separated? Learn how implicit differentiation can be used to find dy/dx even when you don't have y=f(x)!

What Is an Exponential Function?

3. What Is an Exponential Function?

Brand new technologies don't always catch on right away because they can be expensive and don't always work as well as they should. But once the price comes down, and they start to work better, it doesn't take very long before it seems like everyone has one. Learn about the numbers behind this, exponential functions!

Calculating Derivatives of Exponential Equations

4. 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.

Graphing the Derivative from Any Function

5. Graphing the Derivative from Any Function

When you know the rules, calculating the derivates of equations is relatively straightforward, although it can be tedious! What happens, though, when you don't know the function? In this lesson, learn how to graph the derivative of a function based solely on a graph of the function!

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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