Derivative of Natural Log: How to Solve Number 3 on Homework Assignment

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Homework Help Overview

The discussion revolves around a problem related to finding the derivative of a natural logarithm, specifically focusing on number 3 from a homework assignment. Participants are addressing issues related to the original poster's attempt and the clarity of their submission.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Some participants suggest using logarithmic properties and the chain rule as potential approaches. Others question the original poster's understanding of algebraic notation, particularly regarding the interpretation of cube roots.

Discussion Status

The discussion is ongoing, with participants providing feedback on the clarity of the original poster's submission and suggesting methods to approach the problem. There is no explicit consensus on the correct approach yet, as participants are exploring different aspects of the problem.

Contextual Notes

There are constraints regarding the quality of the original poster's submission, as it was noted that the image posted was disorganized and difficult to interpret. This has led to requests for clearer communication of the problem and attempts.

thegoosegirl42
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Homework Statement


I posted a picture of it and my attempt it is number 3

Homework Equations

The Attempt at a Solution


I tried using log properties and I am not sure what went wrong and how to arrive at the correct answer.

Mod note: Messy, disorganized image deleted.
 
Last edited by a moderator:
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log derivative and chain rule should get you there.
 
You need to brush up on your algebra. ##\sqrt[3]{x}## doesn't mean ##(\sqrt{x})^3##; it means ##x^{1/3}##. Try again.
 
If you must post your attempt at a solution in handwritten form, at least use a clean sheet of paper and present your work in some logical sequence so that others can follow it. o_O
 
@thegoosegirl42,
The image you posted was so bad that I deleted it. Please post the problem you want help on (not an image), together with your work.
 

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