Unit 23 — Differentiation Techniques
Topic 5: Calculus
Differentiation Techniques for IB Math AA SL and HL: notes on The Concept of a Limit, The Derivative and Basic Rules, The Chain, Product and Quotient Rules, Derivatives of Trigonometric Functions…
Syllabus content: SL 5.1 SL 5.3 SL 5.6 AHL 5.15 AHL 5.14 SL 5.7 AHL 5.12
SL students read sections 23.1, 23.2, 23.3, 23.4, 23.6, 23.9. HL students read every section (the HL-only sections are marked HL).
| Section | Syllabus |
|---|---|
| 23.1 The Concept of a Limit | SL 5.1 |
| 23.2 The Derivative and Basic Rules | SL 5.3 |
| 23.3 The Chain, Product and Quotient Rules | SL 5.6 |
| 23.4 Derivatives of Trigonometric Functions | SL 5.6 |
| 23.5 Derivatives of Further Trigonometric Functions | AHL 5.15 |
| 23.6 Derivatives of Exponential and Logarithmic Functions | SL 5.6 |
| 23.7 Derivatives of aˣ and logₐ x | AHL 5.15 |
| 23.8 Implicit Differentiation | AHL 5.14 |
| 23.9 The Second Derivative | SL 5.7 |
| 23.10 Higher Derivatives | AHL 5.12 |