### // What’s new?

Here is a list of the new functions we’ve defined this semester:

\(e^x\)

\(b^x\)

\(e^{kx}\)

\(\log_b x\)

\(\ln x\)

\(\ln |x|\)

\(\sin x\)

\(\cos x\)

\(\tan x\)

\(\sec x\)

\(\cot x\)

\(\csc x\)

\(\sin^{-1} x\)

\(\tan^{-1} x\)

\(\sec^{-1} x\)

### // What should we know?

For each of these functions you need to know the following:

- The domain of the funciton (where it is defined)
- The range of the function (possible outputs)
- The graph of the function (including relevant roots, asymptotes, and global behavior)
- How to compute basic values of the function (especially at 0 or other important points)
- The limit of the function at \(\infty\) and at \(-\infty\) (or ends of domain, if smaller)
- How the function is related to other functions in the list (inverse, combinations, etc)
- The derivative of the function (and how we proved that derivative formula)

### // Then what?

Of course, you’ll also need to deal with *combinations* of these functions, but start with the basics. Get all this into your Notebook in case you need to reference it during the last 10 minutes of Wednesday’s exam. Good luck studying everyone, let me know on Slack if you have any questions.