Module 3: Differentiation Rules
Now that you understand what a derivative is, it is time to build your toolkit. In this module you will learn the product, quotient, and chain rules, differentiate trig functions, and tackle implicit differentiation.
Your Progress
Learning Objectives
By the end of this module, you will be able to:
- Apply the Product Rule and Quotient Rule to differentiate products and quotients of functions
- Use the Chain Rule to differentiate composite functions
- Differentiate all six trigonometric functions
- Perform implicit differentiation to find dy/dx for implicitly defined curves
- Combine multiple rules in a single differentiation problem
Module Lessons
Product and Quotient Rules
Learn to differentiate products and quotients of functions using two essential rules that extend your differentiation toolkit.
35-45 minutes
The Chain Rule
Master the most powerful differentiation rule: differentiating compositions of functions by working from the outside in.
35-45 minutes
Derivatives of Trig Functions
Derive and memorize the derivatives of sine, cosine, tangent, and the three remaining trig functions.
30-40 minutes
Implicit Differentiation
Differentiate equations that define y implicitly as a function of x, including circles, ellipses, and other curves.
35-45 minutes
After the Lessons
Practice Problems
Apply what you have learned with 10 practice problems covering all module topics. Step-by-step solutions included!
Practice ProblemsModule Quiz
Test your understanding with a 10-question quiz covering all differentiation rules from this module.
Take Module QuizStudy Materials
Download printable study guides and quick reference cards for exam prep.