Differential calculus | Logarithms

Logarithmic differentiation

In calculus, logarithmic differentiation or differentiation by taking logarithms is a method used to differentiate functions by employing the logarithmic derivative of a function f, The technique is often performed in cases where it is easier to differentiate the logarithm of a function rather than the function itself. This usually occurs in cases where the function of interest is composed of a product of a number of parts, so that a logarithmic transformation will turn it into a sum of separate parts (which is much easier to differentiate). It can also be useful when applied to functions raised to the power of variables or functions. Logarithmic differentiation relies on the chain rule as well as properties of logarithms (in particular, the natural logarithm, or the logarithm to the base e) to transform products into sums and divisions into subtractions. The principle can be implemented, at least in part, in the differentiation of almost all differentiable functions, providing that these functions are non-zero. (Wikipedia).

Video thumbnail

Logarithmic Differentiation

This video explain the technique of determining derivatives using logarithmic differentiation.

From playlist Logarithmic Differentiation

Video thumbnail

Logarithmic Differentiation: (sqrt(x))^(7x)

This video provides an example on how to perform logarithmic differentiation.

From playlist Logarithmic Differentiation

Video thumbnail

(New Version Available) Logarithmic Differentiation

New version to fix an error at 8:13: https://youtu.be/a9p39iWATKA This video explain the technique of determining derivatives using logarithmic differentiation. http://mathispower4u.wordpress.com/

From playlist Differentiation

Video thumbnail

Logarithmic Differentiation: x^(3sin(x))

This video provides an example on how to perform logarithmic differentiation.

From playlist Logarithmic Differentiation

Video thumbnail

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

Video thumbnail

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

Video thumbnail

Ex 1: Logarithmic Differentiation

This video provides an example of how to find a derivative using logarithmic differentiation. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com

From playlist Logarithmic Differentiation

Video thumbnail

Logarithmic Differentiation: x^(ax)

This video provides an example on how to perform logarithmic differentiation.

From playlist Logarithmic Differentiation

Video thumbnail

Logarithmic Differentiation: 8x^(ln(x))

This video provides an example on how to perform logarithmic differentiation.

From playlist Logarithmic Differentiation

Video thumbnail

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

Video thumbnail

ACA Omar León Sánchez

Title: Parameterized logarithmic equations and their Galois theory

From playlist Applications of Computer Algebra 2014

Video thumbnail

Integration (11) - Differential Equations (C4 Maths A-Level)

Powered by https://www.numerise.com/ Integration (11) - Differential Equations (C4 Maths A-Level) www.hegartymaths.com http://www.hegartymaths.com/ www.hegartymaths.com http://www.hegartymaths.com/

From playlist Integration Techniques Core 4 Maths A-Level

Video thumbnail

The unexpectedly hardest test problem I've ever given

►Get my favorite calculator app for your phone or tablet: MAPLE CALCULATOR: https://www.maplesoft.com/products/maplecalculator/download.aspx?p=TC-9857 ►Check out MAPLE LEARN for your browser to do compute and graph math: https://www.maplesoft.com/products/learn/?p=TC-9857. Thank you to Map

From playlist Learning Math Advice

Video thumbnail

Integration (5) - Logarithmic Results (C4 Maths A-Level)

Powered by https://www.numerise.com/ Integration (5) - Logarithmic Results (C4 Maths A-Level) www.hegartymaths.com http://www.hegartymaths.com/ www.hegartymaths.com http://www.hegartymaths.com/

From playlist Integration Techniques Core 4 Maths A-Level

Video thumbnail

Implicit and Logarithmic Differentiation | Calculus

In this video, we look at some examples of implicit differentiation as well as logarithmic differentiation. We also include an example of differentiation a logarithmic which is not in base e, which is often a difficult concept for students. Implicit differentiation is a very useful techniq

From playlist Calculus

Video thumbnail

Logarithm Battle! Derivative vs. Integral of log_x(a)

Interested in more puzzling exercises? Why not try out Brilliant then? =D https://brilliant.org/FlammableMaths Engi Watch :0 https://stemerch.com/products/the-incredibly-unrigorous-engineering-watch?variant=39376946364594 WLOG Merch :D https://stemerch.com/collections/wlog-with-loss-of-gen

From playlist Integrals

Video thumbnail

Lec 6 | MIT 18.01 Single Variable Calculus, Fall 2007

Exponential and log; Logarithmic differentiation; hyperbolic functions Note: More on "exponents continued" in lecture 7 View the complete course at: http://ocw.mit.edu/18-01F06 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.e

From playlist MIT 18.01 Single Variable Calculus, Fall 2006

Video thumbnail

Math 2A. Calculus. Lecture 27: Final Exam Review

UCI Math 2A: Single-Variable Calculus (Fall 2013) Lec 27. Single-Variable Calculus -- Final Exam Review -- View the complete course: http://ocw.uci.edu/courses/math_2a_calculus_i.html Instructor: German A. Enciso, Ph.D. License: Creative Commons CC-BY-SA Terms of Use: http://ocw.uci.edu/i

From playlist Math 2A: Calculus.

Video thumbnail

Logarithmic Differentiation: 2+x to the power of 2/x

This video explains how to use logarithmic differentiation to determine a derivative.

From playlist Logarithmic Differentiation

Video thumbnail

Logarithmic Differentiation - Example 2

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 - Example 2. Another example using logarithmic differentiation. For more free math videos, visit http://PatrickJMT.com

From playlist Calculus / Second Semester - Integration

Related pages

Calculus | Multiplication | Logarithmic derivative | Faà di Bruno's formula | Quotient rule | Natural logarithm | Function (mathematics) | Product rule | Exponential function | Summation | Derivative | Chain rule | Differentiable function