1 video in "Exponentials / Logarithms"
e^x and ln x
e^x and ln x
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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.
Early Transcendental extra video lecture including exponentials and the natural logarithm.
- Rules of Logarithms - List of rules of logarithms.
- Derivatives and Integrals of exponential and natural logarithm functions - A list of derivatives and integrals of the exponential and natural logarithm function.
- What is e?
- What is the limit definition of the number e?
- What are the properties of e^x?
- What is the derivative of e^x?
- What is ln x?
- How are e^x and ln x related?
- What are the properties of ln x?
- What is the change of base formula for logarithms and why does it work?
- What is logarithmic differentiation?
- What is the derivative of x^-x?
This video explains what the number e is, what the limit definition of e is, and what e^x looks like and acts like. Some really high-level proofs are explained in this video. These might be above the level of an ordinary Calculus student. The number e and the exponential function e^x are used to explain ln x, or log base e of x. Properties of logs are explained using rules of exponents.
