In this tutorial you are shown how to differentiate composite natural log functions by using the chain rule.

The following examples are used in the tutorial which you may like to try as part of your maths revision.

Find \dfrac{dy}{dx} for the following natural logs:

  1. y = \ln (3{x^2} - 1)
  2. y = \ln (4{x^3} - 2{x^2} + 1)
  3. y = \ln \sin x
  4. y = 3\ln (5x + 3)