Teach the second derivative with this IB Maths AA SL 5.7 lesson, featuring clear explanations, practice questions, worked solutions and graph interpretation.
This 18-slide presentation supports Topic 5: Calculus and helps students move from differentiating twice to connecting the graphs of f, f′ and f′′.
What is covered?
- The meaning of the second derivative and how the gradient changes.
- Both f′′(x) and d²y/dx² notation.
- Practice finding first and second derivatives, with solution slides.
- Increasing and decreasing functions, concavity and stationary points.
- Identifying f, f′ and f′′ from graphs and explaining their relationships.
- An exam checklist covering the second derivative test and points of inflection.
Suitable for ages 16–18, especially IB Diploma Mathematics: Analysis and Approaches SL. Use for whole-class teaching, guided practice or revision.
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£3.00