Having trouble differentiating this

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    Differentiating
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Discussion Overview

The discussion revolves around differentiating a logarithmic function with respect to the variable y. It includes aspects of calculus and the application of logarithmic rules in differentiation.

Discussion Character

  • Homework-related

Main Points Raised

  • One participant expresses difficulty in differentiating the function c = 425 + 1.2ln(y/(y+2)) with respect to y.
  • Another participant suggests using logarithmic rules to simplify the differentiation process, specifically noting that ln(y/(y+2)) can be rewritten as ln(y) - ln(y+2).
  • A subsequent reply provides a differentiation result, stating dc/dy = 1.2(1/y - 1/(y+2)), and simplifies it to dc/dy = 1.2(2/y(y+2)).
  • One participant questions the relevance of the thread being categorized under "differential equations" and moves it to the "Calculus" section.

Areas of Agreement / Disagreement

The discussion does not appear to reach a consensus on the differentiation process, as participants provide different perspectives and approaches without resolving the initial difficulty expressed.

Contextual Notes

There may be limitations in the assumptions made regarding the function's domain or the application of logarithmic rules, which are not fully explored in the discussion.

shanedog11
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i am having trouble differentating this function with respect to y

c= 425 + 1.2ln(y/(y+2)
 
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Have you tried using the log rules? They might help.

[tex]\ln \frac{y}{y+2} = \ln y - \ln(y+2)[/tex]
 
so
dc/dy=1.2(1/y-1/(y+2))

therefore in its simplest form:

dc/dy=1.2( 2/y(y+2) )
 
Was there a reason for posting this under "differential equations"? I am moving it to Calculus.
 

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