In this lesson, we learn about the exponential function and its inverse, the natural logarithm. We find that the number e is defined as the inverse of the natural logarithm of x, and that these two functions are inverses of each other. We also learn about the derivative and integral of the exponential function, as well as its limit as x approaches infinity. Finally, we see how to differentiate and integrate exponential functions with bases other than e.
The inverse of the natural logarithm.
Copyright 2005, Department of Mathematics, University of Houston. Created by Selwyn Hollis. Find more information on videos, resources, and lessons at http://online.math.uh.edu/HoustonACT/videocalculus/index.html.