How do you differentiate (x-y) using implicit differentiation?

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Homework Help Overview

The discussion revolves around the differentiation of the expression (x - y) using implicit differentiation, a topic within calculus.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster seeks assistance with implicit differentiation, while participants propose different interpretations of the differentiation process and question the variable with respect to which differentiation is being performed.

Discussion Status

Participants are exploring various interpretations of the differentiation process, with some suggesting potential forms of the derivative. There is an ongoing examination of assumptions regarding the variables involved.

Contextual Notes

There is a noted ambiguity regarding the variable with respect to which the differentiation is being conducted, which may affect the interpretation of the results.

maphco
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I looked through my notes and couldn't figure out how to differentiate

(x - y)

using implicit differentiation. Could someone help with that and I should be able to work out the rest of my question :)
 
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Just a thought now, would it be

1 - dy/dx

?
 
i think you are correct
its

1-y'
 
Why couldn't it be dx/dy-1? You need to state what you are differentiating wtih respect to.
 

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