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HSC Mathematics Advanced exam: Mon 19 Oct, 9:20am — 9 days away

ATARMAxxing · HSC Mathematics Advanced revision notes

Curve Sketching Using Calculus

Second Derivative and Curve Sketching
3 · Calculus

What this note covers

  1. The Systematic Procedure: An Overview
  2. Domain, Intercepts, and End Behaviour
  3. Stationary Points and the First Derivative
  4. The Second Derivative: Concavity and Classification
  5. Worked Example: Sketching a Cubic
  6. Identifying Points of Inflection in Detail
  7. Worked Example: Quartic with Repeated Feature

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

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HSC Mathematics Advanced · revision note 4 of 20