Derivative of y = ln|x| or natural log of absolute value of x

Math Easy Solutions

mathematics calculus science natural logarithms absolute values

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Correction: From 1:03 to 1:38, (-1)^1.3 is a complex number instead of less than 0.

In this video I recap on logarithmic differentiation by showing how you can still use logarithmic differentiation when dealing with functions that may be negative, or less than zero, in which case taking the ln or natural log of them is not defined. I do an example illustrating this concept and allude to a general proof of the Power Rule which I will derive in my next video.

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Related Videos:

Derivative of y = Log(x) and y = Ln(x): http://youtu.be/5e6MisvvMPE Logarithmic Differentiation: Easy way to simplify derivatives: http://youtu.be/_hfZdRztUjU Definition of Derivative Simple Explanation: http://youtu.be/0rjGMpM06Eg Logarithms and their Properties - An Introduction: http://youtu.be/AZ6KKym19gI Natural Logarithms, Log base 10, and Some Examples Using Logs: http://youtu.be/XRSkMk5L3pk Derivative Rules: Proof of Chain Rule: http://youtu.be/tYDDpKzP-VU Derivative Examples using the Chain Rule: http://youtu.be/KB9_lBxTrwI Implicit Differentiation - A Brief Introduction: http://youtu.be/12OY1b3DYHQ .

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