Derivatives of Inverses: Differentiate y=lnx^3 by 2 Methods, Chain Rule or Rules of Logs

Click SHOW MORE to see the description of this video.

Need a math tutor, need to sell your math book, or need to buy a new one? Check out these links and help support Ms Hearn Mathematics at the same time!

This video is part of a playlist on Derivatives of Inverse Functions.
In this part, I explain how to differentiate the function y = ln(x^3) in two ways. First, I use the Chain Rule, and then I use Properties of Logs to simplify so that I don't have to use the Chain Rule.

[gabrielrivasmolina]

Gabriel rivas
Mac2311
This video helped me learn the logarithm rules in a derivate. That there are two methods: the chain tule and the power tule of logs. I really like how it is explained. Thank you so much

[matthewv]

Matthew Velez
MAC2311
One takeaway from this video that Interested me was when doing the derivative of ln(x) in chain rule, the x becomes a fraction instantly from the memorization of the formula, but in the power way approach even though the outcome is the same it shows the more algebraic approach.

[anaabinazar]

Ana Abinazar
MAC2311
One thing I like about this video is that I can use these problems as practice for my final, and I get to check my answer by watching the explanation. :)

[marialialcantara]

Mariali A. (MAC2311)This video helped me understand, the two methods that can be used to differentiate. The power rule of logs makes it much easier to see in my opinion to solve since I'm more familiar with using log rules.

[kornikamakeup]

Yonacary Wingard
MAC2311
One concept I learned from this video is understanding the importance of knowing the derivatives rules so we can apply them correctly.

[danielamatheu]

Daniela Matheu
MAC2312
An insight that I gained from watching this video is that one way to find derivatives is to first use the power of logs.

[jonathanschnoor]

Jonathan Schnoor
MAC2312
My take away from this video was that you can either use the chain rule or the product rule of logs to find lnx^3

[ashpocalypse]

Ashleigh Sanjur
MAC2311
I learned how to differentiate an equation by using two rules. I'm more used to the chain rule, so it's good to have a refresher on how to use the power rule of logs.

[kendall]

Kendall Fretwell
MAC2311
This video helped me understand how to use both the chain rule and power rule to find the derivative of an ln function.

[nielklopen]

Daniel Escobar
MAC1123
I learned how to apply chain rule in a natural log function, in addition to find the derivative.

[brandonn]

Brandon Nandlal
MAC2311
One thing I liked about the video was showing two methods for finding the derivative of ln x^3. This helps me because sometimes I get one method over another so I can use that one instead and it will be acceptable.

[anamelo]

Ana De Melo
MAC2312
One new concept I learned from this video was the versatility of the Power Rule of logs.

[wensleyfleurinord]

Wensley Fleurinord
MAC2311
What I learned in this video is how to use the chain rule in a more versatile way.

[williemorales]

Willie Morales
MAC2311
what i learned in this video is how to use the chain rule and the power rule of logs

[sebastianho]

Sebastian Ho
MAC2311
I learned from this video the different ways this type of problems can be solved. Thank you!

[mariavillamil]

Maria Villamil
MAC2311
This video helped me a lot to practice and to understand better and as reminder of the logs rules and how I can apply them in the derivatives.

[robertcasanova]

Robert Casanova
MAC2311
This video helped me better uderstand "u" notation in chain rule and how to rewrite logs using algebra to make problems easier.

[rodrigoq]

Rodrigo Quine
MAC2311
This video helped me understand the two ways you can differentiate with chain rule and power rule of log.