The Natural Logarithm

The Natural Logarithm
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Taught by Houston

Meets NCTM Standards:

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.
The natural log function defined as the integral of 1/t dt.
  • What is the natural log function?
  • What is ln?
  • What are the properties of natural log?
  • What is the integral of 1/x?
  • What is the derivative of ln |x|?
  • What is the integral of x^-1?
  • What is the integral of du/u?
  • What is the derivative of x^-x?
The natural log function is defined and explained, as well as its limits and properties. ln(xy) = ln x + ln y is proved in this video. A theorem is also given, explained and proven that the limit of ln x / x^r = 0 for any r > 0 as x goes to infinity. This is a very complete and interesting video on the natural logarithm.
  • Currently 4.0/5 Stars.
Reviewed by MathVids Staff on December 20, 2008.
 
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