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ATARMAxxing · WACE Mathematics Methods revision notes

Second derivatives, concavity, inflection, the increments formula, curve sketching and optimisation

The second derivative and applications of differentiation
3 · Topic 3.1: Further differentiation and applications

What this note covers

  1. The second derivative as a changing gradient
  2. Concavity and points of inflection
  3. Classifying stationary points
  4. The increments formula
  5. Building a derivative-based sketch
  6. Optimisation from a model
  7. A reliable applications workflow
  8. Error analysis and final checks for The second derivative and applications of differentiation

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

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