Introduction to the Derivative Function
PowerPoint lesson introducing the derivative through its limit definition, connecting it to tangent slope and instantaneous rate of change, with four fully worked examples of finding f'(x).

- Grades
- Grade 12
- File type
- Microsoft PowerPoint
- Use
- Digital activity
- Subject
- Math
- Topic
- Calculus, Introduction to Derivative Function
- Resource types
- Lesson Plans
- Use
- Digital activity
From the author
About this resource
PowerPoint presentation, 8 slides explaining to Understand the meaning of derivative function
In the classroom
Teaching tips & learning objectives
Learning objectives
Explain the derivative as the slope of a tangent line and an instantaneous rate of change
Find the derivative of polynomial and rational functions from the limit definition
Teaching tips
The fourth example relies on multiplying by a conjugate, so reviewing that algebra step first could help.
Skills covered
Differentiation from first principles — students follow the limit definition through four worked functions
Algebraic simplification — the examples expand, factor and use a conjugate to evaluate the limit
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Resource details
Concepts & topics
Core concepts
Derivative
Limit definition
Tangent slope
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