This document discusses using the Chain Rule to differentiate more complicated functions. It introduces the Chain Rule and provides Gottfried Leibniz as the inventor of the notation for derivatives. Two examples are given to demonstrate differentiating functions using the Chain Rule without showing the steps of the work.

1. Starter Differentiate the following:

2. Objective: to use the Chain Rule to differentiate more complicated functions

3. The Chain Rule Please note that derivatives are not really fractions – it is just convenient to think of them in this way. Gottfried Leibniz (1646 – 1716) Inventor of the notation

4. Example 1 Differentiate

5. Example 2 Differentiate