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

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First published at 04:46 UTC on March 27th, 2023.

#mathematics
#science
#calculus

Math Easy Solutions

MES

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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, …

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.

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIicsYG2VZL5IQOMyxFg?e=X0drph

View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/derivative-of-natural-log-of-absolute-value-of-x

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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