Paper 1 · Differentiation ⏱ Tested in 5+ recent exam questions Lesson 9 of 21

Differentiation 9 – Logs

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 ln(x) and ln(g(x)) using d/dx[ln g(x)] = g'(x)/g(x)
  • Simplify ln of fractions and roots with the rules of logs BEFORE differentiating
  • Derive results like d/dx[ln(cos x)] = −tan x via the chain rule
  • Spot that ln(3x) differentiates to 1/x — the constant cancels

Most recent exam questions

  • 2025 P1 Q9(a)(iv)
  • 2024 P1 Q5(b)(ii) — deferred
  • 2022 P1 Q10(c)(i)
  • 2020 P1 Q6(b)(i)
  • 2019 P1 Q3(c)

💬 Stuck on something in this lesson?

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