The Chain Rule | Calculus Lesson 16 - JK Math

How to Use the Chain Rule for Derivatives (Calculus Lesson 16)

In this lesson we learn about when and how to use the chain rule for derivatives. We discuss how to use the chain rule to take derivatives of composite functions, and briefly review what composite functions are. We look at various example problems to practice using the chain rule, focusing on the concept of “inner” and “outer” functions to help us arrive at our answers.

This course is designed to help students understand the concepts of calculus at a grounded level. No long, boring, and unnecessary explanations, just what you need to know at a reasonable and digestible pace, with each lesson under 20 minutes!

Calculus requires a solid understanding of precalculus and algebra concepts and techniques including factoring, equation manipulation, trigonometric equations, logarithms, finding slope, graphing, and many more. If you are not familiar with these prerequisite topics, be sure to learn them first!

Video Chapters:
0:00 A Review on Composite Functions
1:36 When The Chain Rule Should be Used
3:59 What is the Chain Rule?
6:27 Example 1 - Derivative of sin(9x)
8:23 Example 2 - Derivative of sqrt(x^2+3)
11:17 Example 3 - Derivative of sin^2(x)
13:29 Example 4 - Derivative of -3/(2x+5)^2

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