Paper 1 · Differentiation ⏱ Tested in 5 exam questions since 2016 Lesson 6 of 21

Differentiation 6 – Product Rule

This tutorial is for members

Read the lesson notes free below — subscribe to watch the full worked video and download the PDF.

Subscribe for full access · €199/yr

You’ll learn

  • Differentiate products of two variable factors using dy/dx = u·dv/dx + v·du/dx
  • Recognise when the product rule applies — and when a constant factor means it doesn't
  • Set out rough work as u, du/dx, v, dv/dx before substituting into the formula
  • Combine the product rule with the chain rule and switch to dy/dt when t is the variable

Most recent exam questions

  • 2025 P1 Q6(b) — deferred
  • 2024 P1 Q5(b)(ii) — deferred
  • 2023 P1 Q5(b)
  • 2019 P1 Q3(c)
  • 2016 P1 Q6(b)(i)

💬 Stuck on something in this lesson?

Send your question with this lesson’s name attached — you’ll get a reply by email.