Differential calculus | Complex analysis

Logarithmic derivative

In mathematics, specifically in calculus and complex analysis, the logarithmic derivative of a function f is defined by the formula where is the derivative of f. Intuitively, this is the infinitesimal relative change in f; that is, the infinitesimal absolute change in f, namely scaled by the current value of f. When f is a function f(x) of a real variable x, and takes real, strictly positive values, this is equal to the derivative of ln(f), or the natural logarithm of f. This follows directly from the chain rule: (Wikipedia).

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Ex: Logarithmic Differentiation

This video provides and example of how the properties of logarithms can be used to determine the derivative of a function. Search Entire Video Library at www.mathispower4u.wordpress.com

From playlist Logarithmic Differentiation

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Ex: Determine the Value of a Number on a Logarithmic Scale (Log Form)

This video explains how to determine the value of several numbers on a logarithmic scale scaled in logarithmic form. http://mathispower4u.com

From playlist Using the Definition of a Logarithm

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Solving the Logarithmic Equation log(A) = log(B) - C*log(x) for A

Solving the Logarithmic Equation log(A) = log(B) - C*log(x) for A Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys

From playlist Logarithmic Equations

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The Derivative of a Rational Function Using the Log Differentiation (Powers of Binomials)

This video explains how to find the derivative of a rational function using the logarithmic differentiation. Compare to using the quotient rule: https://youtu.be/DHU_43ps6iM

From playlist Logarithmic Differentiation

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Derivative of the Logarithmic Function

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From playlist Differentiation

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Logarithms

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From playlist Exponential and Logarithmic Expressions and Equations

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Ex 9: The derivative of f(x) = ln(ln(5x))

This video shows how to determine the derivative of f(x) = ln(ln(5x)) Search Entire Video Library at www.mathispower4u.wordpress.com

From playlist Differentiation of Logarithmic Functions

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Introduction to Logarithms

This video defines a logarithms and provides examples of how to convert between exponential equations and logarithmic equations. http://mathispower4u.wordpress.com/

From playlist Exponential and Logarithmic Expressions and Equations

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Using the inverse of an exponential equation to find the logarithm

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From playlist Logarithmic and Exponential Form | Learn About

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Defining the Natural Logarithm as an Integral?!?!?

We typically define ln(x), the natural logarithm of x, by first defining the exponential function of x, noting that this is a 1:1 function, and then defining ln(x) as the inverse function to exponential. In this video we go the other way around. We define ln(x) as a particular integral, an

From playlist Calculus II (Integration Methods, Series, Parametric/Polar, Vectors) **Full Course**

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Your calculus prof lied to you (probably)

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From playlist Cool Math Series

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Logarithmic Differentiation

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Logarithmic Differentiation! For more free math videos, visit http://PatrickJMT.com

From playlist Calculus / First Semester - Limits, Continuity, Derivatives

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Derivatives of Logarithmic Functions - More Examples

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Buy My Book: '!001 Calculus Problems for Dummies' ! You can get it on my website! http://PatrickJMT.com Derivatives of Logarithmic Functions - For more free ma

From playlist All Videos - Part 10

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❖ Derivatives of Logarithmic Functions ❖

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! In this video, I give the formulas for finding derivatives of logarithmic functions and use them to find derivatives! For more free math videos, visit http://P

From playlist Calculus / Second Semester - Integration

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Derivatives of Logarithmic Functions and Examples

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Derivatives of Logarithmic Functions and Examples. For more free math videos, visit http://justmathtutoring.com and click on the 'Free Video Lessons' tab on t

From playlist All Videos - Part 4

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When the Hectogon?: An old lesson on the properties of Exponentials and Logarithms

Follow me @whatthehectogon on instagram for channel updates, as well as book/vinyl recommendations! If you have any questions, critiques, or recommendations for topics, either leave a comment below or feel free to email me at the misspelled whatthehectagon@gmail.com This video is a mock

From playlist Exponentials and Logarithms

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❖ Lots of Different Derivative Examples! ❖

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From playlist Calculus / First Semester - Limits, Continuity, Derivatives

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Calculus - How to do logarithmic differentiation

Logarithmic differentiation sounds like a complicated process, but its actually a powerful way to make finding the derivative easier. They key to doing this is to use the laws of logarithms, along with our other derivative rules. Check out this video on some great tips and two quick exam

From playlist Calculus

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The Derivative of ln(x) via Implicit Differentiation

Description: Much as we computed the derivative of arctan(x) via implicit differentiation by noting that arctan(x) is the inverse to tan(x), we can do the same for ln(x) which is the inverse function for e^x. Learning Objectives: 1) Compute the derivative of ln(x) and ln|x|. Now it's

From playlist Calculus I (Limits, Derivative, Integrals) **Full Course**

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Simplifying a logarithmic expression to one single logarithm

👉 Learn how to condense logarithmic expressions. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions from the expanded form to a condensed form. Knowledge of the logarithm law

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Differential operator | List of logarithmic identities | Exponential decay | Complex analysis | Differential form | Product rule | Argument principle | Invariant (mathematics) | Reciprocal rule | Derivative | Chain rule | Residue (complex analysis) | General Leibniz rule | Operator (mathematics) | Condition number | Integrating factor | Meromorphic function | Corollary | Quotient rule | Mathematics | Function (mathematics) | Field (mathematics) | Real number | Exponential growth | Power rule | Zeros and poles | Contour integration | Calculus | Mathematical finance | Numerical analysis | Natural logarithm | Pullback (differential geometry)