The derivative using logarithmic differentiation. Is this correct?

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Homework Help Overview

The discussion revolves around finding the derivative of a function using logarithmic differentiation, with participants reviewing the original poster's attempt and questioning specific steps in the process.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants are examining the correctness of the original poster's solution, particularly focusing on the transition between specific lines in their work. There is a discussion about the value of ln(e) and its implications for the derivative calculation.

Discussion Status

Some participants have provided feedback on the original poster's work, indicating areas where clarification is needed. There appears to be a mix of agreement and questioning regarding the steps taken in the differentiation process.

Contextual Notes

Participants are specifically addressing a potential mistake in the application of logarithmic properties and the chain rule, suggesting that certain assumptions may need to be revisited.

dylanhouse
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1. Homework Statement [/b]

Find the derivative of the given function.

Homework Equations



Chain rule and logarithmic differentiation.

The Attempt at a Solution



See attached .gif. I was just wondering if this seemed correct? Thanks!
 

Attachments

  • Calculus Problem.gif
    Calculus Problem.gif
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You made a small mistake going from the 5th to the 6th line. ln(e) = ?
 
ln(e) = 1. I replaced it in the 7th line.
 
dylanhouse said:
ln(e) = 1. I replaced it in the 7th line.

I mean, xln(e) = x(1) = x right?

\frac{d}{dx} (x) = 1
 
It looks fine to me as it is.
 

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