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The Calculus Lifesaver by Adrian Banner

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CHAPTER 9 ______________________________

Exponentials and Logarithms

Here’s a big old chapter on exponentials and logarithms. After we review the properties of these functions, we need to do some calculus with them. It turns out that there’s a special base, the number e, that works out particularly nicely. In particular, doing calculus with ex and loge(x) is a little easier than dealing with 2x or log3 (x), for example. So we need to spend some time looking at e. There are other things we want to look at as well; all in all, the plan is to check out the following topics:

• review of the basics of exponentials and logs, and how they are related to each other;

• the definition and properties of e;

• how to differentiate exponentials and logs;

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