Derivative using Logarithmic Differentiation

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Homework Help Overview

The discussion revolves around the application of logarithmic differentiation to find a derivative, with a specific focus on the differences between the original poster's answer and that provided by Wolfram Alpha. The subject area is calculus, particularly the differentiation of functions involving logarithms and products.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts logarithmic differentiation but finds discrepancies with Wolfram Alpha's output. Some participants question the correctness of the original poster's differentiation steps and suggest that a detailed breakdown of the process is necessary to identify potential errors.

Discussion Status

The discussion is ongoing, with participants seeking clarification on the original poster's methodology. There is a recognition that without a detailed account of the steps taken, it is challenging to pinpoint the source of confusion. Guidance has been offered to provide more detailed workings to facilitate better assistance.

Contextual Notes

Participants note that the original poster's reliance on Wolfram Alpha may have introduced uncertainty regarding the correctness of their approach. There is an emphasis on the need for clarity in the steps taken to reach the final answer.

marc_2094
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Homework Statement



http://www.flickr.com/photos/50468243@N02/8577233960/

Homework Equations





The Attempt at a Solution



In the pic, the noticeable difference between my answer and Wolframalpha's is the tan[log(sin x+1) to base 5]. If I do logarithmic differentiation, what I get is my Answer (the one in the pic) but when I do product rule (I get the same answer with Wolframalpha). Please help. I'm confused. THanks! :)
 
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You're not doing the logarithmic differentiation correctly.
 
Can you please help me find out what I did wrong?
 
marc_2094 said:
Can you please help me find out what I did wrong?

In order to do so, you will need to write out here all the steps you took to get from the problem to your answer. It would be better if you typed the steps out using LaTeX.
 
I'll admit I didn't check your answers. It could be you're doing the product rule incorrectly. (I simply sided with Wolfram Alpha, but you may have messed up using it as well.) In any case, we can't tell where you're going wrong if all you do is post your final results. Doing so is like saying, "My car won't start. What's wrong?"
 

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