The difference quotient looks worse than it is. Determining the difference quotient is the first step in finding the derivative using the definition. The second segment in a series of 31 works through an example of simplifying the difference quotient for a quadratic into a linear expression.

Concepts

difference quotient, simplifying expressions, simplifying, simplify rational expressions

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Additional Tags

math

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Instructional Ideas

• Provide the class with exercises in finding the difference quotient
• Lead a quick discussion on what is meant by canceling in relationship to addition and division

Classroom Considerations

• The class should be able to simplify algebraic expressions

• This video is hosted on YouTube

Pros

• Shows each step of the calculation the narrator does it
• Explains other ways that text books may write the problem

Cons

• None