Will the product rule work for more than two functions? The sixth video in a series of 31 provides a function that is the product of three other functions. Making connections to the product rule with two functions, the presenter shows how the product rule would work with three functions. The presentation continues by working a specific example composed of the product of three binomials. 

Concepts

derivatives, product rule, differential calculus, factors, binomials

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Additional Tags

math

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Instructional Ideas

• Show that the derivative students find by using the product rule is the same as the derivative of the product if they multiplied it out

Classroom Considerations

• The class should know how to take basic derivatives
• Individuals should be familiar with the product rule as it applies to two functions

• This video is hosted on YouTube

Pros

• Uses colors to keep track of the separate functions
• Shows all of the calculation steps in simplifying the derivative

Cons

• None