From 11:00PM PDT on Friday, July 1 until 5:00AM PDT on Saturday, July 2, the Shmoop engineering elves will be making tweaks and improvements to the site. That means Shmoop will be unavailable for use during that time. Thanks for your patience!
We have changed our privacy policy. In addition, we use cookies on our website for various purposes. By continuing on our website, you consent to our use of cookies. You can learn about our practices by reading our privacy policy.
© 2016 Shmoop University, Inc. All rights reserved.
Computing Derivatives

Computing Derivatives

At a Glance - Derivatives of Even More Complicated Functions

How do we find the derivative of a function that's made of one function nested inside another, like

esin x

or

(ln x)42?

The tool we need is called the Chain Rule. While the chain rule isn't always likeable at first, it grows on you. Once we've got the chain rule, we can also do something called implicit differentiation, which allows us to say some things about a function's derivative even if we aren't given a formula for that function. Clearly, our derivatives toolbox is growing.

People who Shmooped this also Shmooped...

Advertisement