Specific Expectations
2.3 determine the derivatives of polynomial functions by simplifying the difference quotient and then taking the limit of the simplified expression
Overall Expectation:
- demonstrate an understanding of rate of change by making connections between average rate of change over an interval and instantaneous rate of change at a point, using the slopes of secants and tangents and the concept of the limit;
Learning Goals
By the end of the lesson, students will…
- Use limits and the difference quotient to find the derivative of a function
- Find the instantaneous rate of a function at a given point by first finding the derivative by the method of first principles
Success Criteria
I can:
- Find the derivative of a function by using the first principles method
- Calculate instantaneous rates of change by first finding the derivative