Paper 1 · Differentiation Lesson 12 of 21

Differentiation 12 – Substitution

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You’ll learn

  • Differentiate composites with the Leibniz chain rule dy/dx = dy/du · du/dx
  • Choose u as the inner expression and rewrite y in terms of u
  • Compute dy/du and du/dx separately, multiply, then substitute u back
  • Apply substitution to powers, trig, exponential and ln functions

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