IP AMaths Notes (Upper Sec, Year 3-4): 15) Differentiation Techniques
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Product, quotient, chain, and implicit differentiation rules for IP AMaths.
Last updated 30 Nov 2025
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- Start Here
- 1 Rules
- 2 Worked example - Product rule
- 3 Worked example - Implicit differentiation
Q: What does IP AMaths Notes (Upper Sec, Year 3-4): 15) Differentiation Techniques cover?
A: Product, quotient, chain, and implicit differentiation rules for IP AMaths.
Beyond single-term powers, you need compound rules to differentiate efficiently.
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These techniques match the SEAB GCE O-Level Additional Mathematics (4049) syllabus: product, quotient, chain, and implicit differentiation in radians.
Status: SEAB O-Level Additional Mathematics 4049 syllabus (exams from 2025) checked 2025-11-30 - scope unchanged; remains the reference for this note.
Start Here
| Read time | What to take away |
| 1 second | Differentiation techniques help when the expression is not a simple power. |
| 10 seconds | Identify the structure first: product, quotient, chain, or implicit relation. Choosing the rule is half the question. |
| 100 seconds | Example: for (3x^2 - 1)(2x + 5), use product rule; for (5x^2 - 3x + 1)^(4/3), use chain rule. |
1 Rules
- Product:
