The fifth derivate of the function.

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Homework Help Overview

The discussion revolves around finding the fifth derivative of the function y = x ln(x). Participants are engaged in exploring the derivatives of this function and the methods required to compute them.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are attempting to clarify the process of taking multiple derivatives, specifically focusing on the fifth derivative. There are questions about the steps involved and where individuals may be encountering difficulties.

Discussion Status

Some participants are providing guidance on foundational concepts such as the product rule, quotient rule, and chain rule, which may assist in addressing the problem. There appears to be a mix of encouragement and concern regarding the readiness of the original poster for an upcoming exam.

Contextual Notes

There is an emphasis on showing work and indicating where participants are stuck, suggesting a focus on the learning process rather than just the final answer. The original poster has repeated their question, indicating a need for further clarification or assistance.

Penultimate
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Whats the fifth derivate of the function [tex]y=x lnx[/tex] ?
y(5)
 
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Show some work first and indicate where you got stuck.
 
Not to sound too harsh, but if you can't even do a derivative as simple as xlnx, you won't do well on tomorrow's exam. Try reviewing:

(1) product rule
(2) quotient rule
(3) chain rule

Once you do so, the question you asked should be easy to solve.
 
Penultimate said:
Whats the fifth derivate of the function [tex]y=x lnx[/tex] ?
y(5)

Hi Penultimate! :wink:

It must mean the fifth derivative, ie the derivative of the fourth derivative, ie … d/dx( d/dx( d/dx( d/dx( d/dx(xlnx))))).

How far have you got? :smile:
 

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