Instructional Video

How to Calculate the Difference Quotient

Curated and Reviewed by Lesson Planet

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.

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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