The Derivative as a Limit
Students define the derivative as the limit of the difference quotient and interpret it as the slope of a tangent line.
Key Questions
- Explain how the secant line evolves into a tangent line as the interval between two points approaches zero.
- Construct the derivative of a simple function using the limit definition.
- Analyze the significance of the derivative as an instantaneous rate of change.
Ontario Curriculum Expectations
Suggested Methodologies
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