Product Rule Examples | Calculus – JK Math

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

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In this video we look at various example problems that involve using the product rule for derivatives. We also look at an example that shows how the product rule can be expanded to take derivatives of three functions multiplied together.

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 Example 1 – Derivative of sqrt(x)*tan(x)
2:16 Example 2 – Derivative of (10x^5-3x)(2x^2+1)
4:23 Example 3 – Derivative of t*sin(t) – t^2*cos(t)
7:27 Example 4 – Derivative of sqrt(x)*(x^2+3) & Slope at x=9
9:56 Example 5 – Product Rule with Known Values of Unknown Functions
11:38 Example 6 – Derivative of tan(x)*cot(x)
12:56 Example 7 – Derivative of x^2*sec(x)*csc(x) – Expanded Power Rule
15:47 Example 8 – Derivative of (x^2-9)^2

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#calculus

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