How do I use the chain rule for differentiation?

  • Google+ icon
  • LinkedIn icon
  • 451 views

The chain rule is used when we have a function in the form f(g(x)).

For example sin(x^3). [In this case, f(x) = sin(x) and g(x) = x^3]

The chain rule says that the derivative of f(g(x)) is g'(x)*f'(g(x)). 

For our example:

g'(x) = 3x^2 and f'(x) = cos(x). So the derivative will be 3x^2*cos(x^3).

Tom K.

About the author

is an online A Level Maths tutor with MyTutor studying at Durham University

Still stuck? Get one-to-one help from a personally interviewed subject specialist.

95% of our customers rate us

Browse tutors

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok