Implicit Differentiation (Lecture Part 4) Example 3 Logarithmic Differentiation

In this video, with is the last part of a Calculus 1 lecture on Implicit Differentiation, we review properties of logarithms and apply them to find derivatives of complicated functions. This allows us to bypass Product, Quotient, and General Power Rules in some cases. The technique of Logarithmic Differentiation requires both the Chain Rule and Implicit Differentiation.

[heidycarralero]

Heidy
MAC2311
One thing I liked about the video was being able to follow along using logarithmic differentiation. This can sometimes take a lot of time but if you can nail down all the steps it becomes muscle memory!

[AnthonyFontana-on]

Anthony Fontana
MAC2311
One thing you can take away from this video is that logarithmic differentiation can make some problems significantly easier. Differentiation can be really tedious, but taking the natural log of both sides for some problems can simplify it a lot!

[isaiahbelvant]

Isaiah Belvant
MAC 2311
One take away from this video is it showed me how to differentiate logarithmic equations and the property of logs.

[JulianaBernal-tm]

Juliana Bernal
MAC2311
One thing I liked about the video was the inclusion of x is greater than zero. Often I struggle to understand the clarification on the equation but as the equation was explained more I understood why that was a rule. Reviewing all the properties of logarithms is something that I struggle with and appreciate the examples while providing the equations at the same time.

[DahveedB]

David Balzora
MAC2311
One thing I learned is that you can only take the log of positive numbers. I had completely forgot about this rule. In many solutions of antiderivative problems the log or ln had an absolute value and now I understand why.

[washington]

Washington Valverde
MAC2311
The video helped me understand Implicit Differentiation with Logarithmic Differentiation

[alejandrohilllon]

Jairo Hillon
MAC2311
Something that I liked about this video is that it uses logs that is something that used to find complex and impossible to understand and uses it to make implicit differentiation way easier.

[CarlosGonzalez-vumo]

Carlos Gonzalez
MAC2311
One thing I identified from this video was my failure early on to recognize how to properly rewrite the functions to avoid applying the wrong differentiation rule. I often found myself taking the wrong step accidentally and this helped to instill the proper rules in my mind.

[joshuabrunk]

Joshua Brunk
Mac2311
In this video I learned how to use properties of log in logarithmic differentiation showing all steps

[ayashahudson]

Ayasha Hudson
MAC2311
I learned that you can only apply logarithmic differentiation when the numbers are positive, not when they're negative.

[kornkanokpeerapisit]

Kornkanok Peerapisit
MAC2311
One take-away from this video is logarithmic differentiation only works with positive numbers.

[sayaleon]

Brytnie Leon
MAC2311
This video helps me understand the property of logarithmic and using the logarithmic differentiation

[exclusivelyg]

Guerdie Baronvil
MAC2311
This video helped me understand how to differentiate log equations and how to get dy/dx by itself.

[alexis_]

Alexis Cruz
MAC2311
One takeaway from this video is that we can utilize logarithmic differentiation only when working with positive numbers.

[amytoro]

Amy-Nicole Toro
MAC2311
This video helped me understand how to apply the property of logarithmic and using the logarithmic differentiation. Thank you!

[paulita]

Paula Diaz
MAC2311
The properties of logs are indispensable simplify the differentiation process. Rewriting a function helps me see the problem in a more approachable way.

[winsaygerard]

Guyptamah Gerard
MAC2311
This video understands how to use the logarithmic differentiation

[tinaleon]

Maria Leon
MAC2311
The video helped me understand how to apply the properties of the logarithm to make the problems easier to work out.

[britnib]

britni b.
MAC2311
I learned how to use logarithmic differentiation on problems with square roots.

[rushopolis]

Shamar Rush

MAC2311(11am TR)

A helpful part of the video was going over how to take the derivative of the natural log of x while remembering to multiply by dy/dx if its not an x.