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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