Quotient Rule Examples | Calculus – JK Math

Example Problems for How to Use the Quotient Rule for Derivatives (Calculus)

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In this video we look at examples of using 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 some examples that show how the quotient rule can be used to prove our derivative rules for certain trigonometric functions.

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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 Example 1 – Derivative of (x+3)/(x-3)
1:59 Example 2 – Derivative of z^3/sin(z)
3:27 Example 3 – Derivative of 5x/(sqrt(x)-1)
6:01 Example 4 – Derivative of (y^4+6y)/7
7:40 Example 5 – Proving The Derivative of cot(x)
10:08 Example 6 – Proving The Derivative of sec(x)
12:17 Example 7 – Derivative of (x^3+3x-2)/(x^2-4) and Slope at x=1

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#calculus

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