Paper 1 · Differentiation ⏱ Tested in 1 exam question since 2022 Lesson 21 of 21

Differentiation 21 – Shapes of derivatives

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You’ll learn

  • Sketch the shape of f'(x) from the graph of f(x) by pattern-matching
  • Drop a polynomial's degree by one per derivative: cubic → quadratic → linear
  • Recognise that eˣ keeps its shape under differentiation
  • Use the 4-step trig cycle cos x → −sin x → −cos x → sin x to find nth derivatives

Most recent exam questions

  • 2022 P1 Q6(c)

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