How Accurate Is the Logarithmic Differentiation in This Example?

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Homework Help Overview

The discussion revolves around finding the derivative of the function f(x)=((x^2)(x^3))/((x^4)(x^2)), specifically using logarithmic differentiation as a method. Participants are exploring the accuracy and application of this technique.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the steps taken in logarithmic differentiation, with one questioning their approach and another suggesting simplification before differentiation. There is also a mention of the importance of learning this differentiation method.

Discussion Status

The discussion is active, with participants providing feedback on the original poster's approach. Some guidance has been offered regarding the differentiation process, and there is recognition of the need to clarify steps taken.

Contextual Notes

There is an emphasis on learning the method of logarithmic differentiation, indicating that the original poster is focused on understanding this technique rather than solely obtaining the derivative.

Ry122
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Question:
Find derivative of f(x)=((x^2)(x^3))/((x^4)(x^2))
Attempt:
ln f(x)=(lnx^2)+(lnx^3)-(lnx^4)-(lnx^2)
Can someone tell me what I have done wrong so far?
Thanks
 
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forgot to take log of both sides?

bring your powers down.. oo well, u prolly know this
 
Why don't you just simplify and then differentiate?
 
I did take the log of both sides. I'm doing it this way because i need to learn this method of differentiation.
 
oo yep, just realized that.
everything looks good
 

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