Watch "Video 31: The Natural Logarithmic Function" through the 5th slide (marked 5 of 8). Then watch "Video 32: The Exponential Function."
The first short video gives one definition of the natural logarithm and derives all the properties of the natural log from that definition. It shows examples of limits, curve sketching, differentiation, and integration using the natural log. We will return to this video later to watch the last three slides. The second video explains the number e, the exponential function and its derivative and antiderivative, curve sketching using the exponential function, and how to perform similar operations on power functions with other bases using the change of base formula.