Paper 1 · Differentiation ⏱ Tested in 3 exam questions since 2023 Lesson 7 of 21

Differentiation 7 – Quotient Rule

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You’ll learn

  • Differentiate fractions u/v using dy/dx = (v·du/dx − u·dv/dx)/v²
  • Assign u = numerator, v = denominator — order matters, unlike the product rule
  • Apply the rule to algebraic, trig and exponential quotients, e.g. x³/tan x
  • Leave answers in fraction form rather than multiplying out

Most recent exam questions

  • 2024 P1 Q4(b)
  • 2023 P1 Q5(a)
  • 2023 P1 Q9(a)(v) — deferred

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