Unit 24 — Applications of Differentiation
Topic 5: Calculus
Applications of Differentiation for IB Math AA SL and HL: notes on Tangents and Normals, Increasing and Decreasing Functions; Concavity, Stationary Points and Points of Inflexion, The Graph of the…
Syllabus content: SL 5.1 SL 5.4 SL 5.2 SL 5.7 SL 5.8 AHL 5.14
SL students read sections 24.1, 24.2, 24.3, 24.4, 24.5, 24.7. HL students read every section (the HL-only sections are marked HL).
| Section | Syllabus |
|---|---|
| 24.1 Tangents and Normals | SL 5.1 SL 5.4 |
| 24.2 Increasing and Decreasing Functions; Concavity | SL 5.2 SL 5.7 |
| 24.3 Stationary Points and Points of Inflexion | SL 5.8 |
| 24.4 The Graph of the Derivative | SL 5.7 |
| 24.5 Rates of Change | SL 5.1 |
| 24.6 Related Rates | AHL 5.14 |
| 24.7 Optimisation | SL 5.8 |
| 24.8 Further Optimisation | AHL 5.14 |