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ATARMAxxing · SACE Specialist Mathematics revision notes

Implicit differentiation

Implicit differentiation
Topic 6: Rates of change and differential equations · Subtopic 6.1: Implicit differentiation

What this note covers

  1. Implicit chain rule
  2. Products containing y
  3. Tangent and normal
  4. Second implicit derivative
  5. Derivative of an inverse
  6. Logarithm from exponential
  7. Implicit curve clinic: tangent, normal, curvature and domain
  8. Implicit differentiation beyond polynomials and local inverse slopes

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

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