Chapter 4 Computing derivatives
There are a lot of tools for computing derivatives that are relatively easy to remember and use. These tools are theorems -- they can all be derived from the definition via limits and some computation. You will get familiar enough with these that you will happily use them without thinking. The structure of this chapter is philosophically backwards: we give you nearly all the tools right away, then give arguments and explanations for some of them, postponing some of the arguments and explanations until we have developed a few more tools. We do this because calculus is so much more fun when you know enough to do a few computations!
