Optimisation Using Calculus

What this note covers

1. 1. What Is Optimisation and Why Does It Matter?
2. 2. Formulating the Objective Function from a Constraint
3. 3. Finding Critical Points: Setting f′(x) = 0
4. 4. Confirming Nature: The Second Derivative Test and Endpoint Analysis
5. 5. Geometric Optimisation Problems
6. 6. Rates-of-Change and Applied Optimisation: Australian Context
7. 7. Stating Conclusions in Context and Common Examination Technique

7 sections · 14 key terms & formulas · 6 common mistakes