Introduction to the Derivative Function
- File type
- Microsoft PowerPoint
- Use
- Digital activity
- Subject
- Maths
- 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
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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
Core concepts
Derivative
Limit definition
Tangent slope
Topics
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