The Quotient Rule | Calculus Lesson 14 – JK Math

How to Use the Quotient Rule for Derivatives (Calculus Lesson 14)

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In this lesson we learn how to use the quotient rule for derivatives. It is useful for finding the derivative of functions divided by each other. We look at several example problems that require the use of the quotient rule and explain each step along the way. Additionally, we take a look at how the quotient rule can be used to prove our derivative rules for certain trigonometric functions.

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 What is the Quotient Rule?
0:43 Using the Quotient Rule
3:13 Derivative of cos(x)/x
4:41 Derivative of sqrt(x)/(x+2)
6:56 Proving the Derivative of tan(x)
9:10 Proving the Derivative of csc(x)
11:57 Derivative of (z^2+4z)/9
13:37 Derivative of x^2/(x^3+x) and Slope at x=1

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#calculus

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