Mathematics: Analysis and Approaches · Topic 5: Calculus

SL5.8 — Maxima, minima and optimization

Mathematics: Analysis and Approaches · SL / HL · syllabus-mapped notes

1. Local maximum and minimum points

   Locating turning points and classifying them with the first or second derivative test.

2. Points of inflexion and concavity

   Points of inflexion, and the concave-up / concave-down terminology.

3. Optimization

   Using calculus to maximize or minimize a real-world quantity.