Differentiation find dy/dx if y=x^y

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Homework Help Overview

The problem involves finding the derivative dy/dx for the equation y = x^y, which falls under the subject area of differentiation and implicit functions.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants discuss the differentiation of the equation, with one original poster providing a result and others confirming or questioning aspects of that result.

Discussion Status

The discussion includes confirmations of the original poster's result, as well as a challenge regarding the correctness of a sign in the denominator. There is no explicit consensus on this point, indicating ongoing exploration of the problem.

Contextual Notes

Participants are engaged in checking results and clarifying details, which suggests a focus on accuracy and understanding of the differentiation process.

Bachelier
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I need to check my results on this integration

find dy/dx if y=x^y

I find: dy/dx= y^2/[x(1-yln(x))]
 
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Looks good - I got the same thing.
 


Thank you.
 


Shouldn't that be a plus sign in the denominator?
 


nope
 

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