Nov 10 - Natural logarithm

We begin working with logarithmic functions today, starting with differentiation. The highlight of class today is seeing the "new" definition of ln(x). We give it an integral definition and see how log properties are consequences of calculus ideas. It's a brand new world!

We will rarely, if ever, worry about logs with other bases. Generally, we use the base change formula to turn another based logarithm into ln x. For example, log x = ln(x) / ln(10).

Notes from today are below. Tonight's assignment will be mostly practice finding derivatives that involve ln(x).