The Product Rule | Calculus Lesson 13 – JK Math

How to Use The Product Rule for Derivatives (Calculus Lesson 13)

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In this lesson we learn how to use the product rule for derivatives. We look at several example problems that require the use of the product rule and explain each step along the way. We also cover how the product rule can be expanded to take derivatives of three functions multiplied together with a few examples to showcase this expansion of the rule.

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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 What is The Product Rule?
0:40 Using The Product Rule
3:13 Example – Derivative of x*sin(x)
4:26 Example – Derivative of sqrt(x)*(9-x^2)
6:43 Product Rule for Product of Three Functions
7:51 Using the Expanded Product Rule
9:44 Example – Derivative of (3x+1)(x-5)(2x+3)

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Corrections:
2:43 I made a typo here. If you do the simplification, the x^2 term turns out be negative, so the correct answer should be 16x^3-21x^2-12.

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#calculus

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