The chain, product and quotient rules

What this note covers

1. Read the algebraic structure before differentiating
2. The chain rule follows a change through a composition
3. The product rule accounts for both changing factors
4. The quotient rule and denominator restrictions
5. Combining rules without losing a domain
6. Use the derivative to answer the actual question
7. Choosing a rule in a multi-stage problem
8. Diagnosing incorrect derivatives and repairing the reasoning

8 sections · 10 key terms & formulas · 6 common mistakes