Implicit Differentiation Question - Stuck

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Discussion Overview

The discussion revolves around the process of implicit differentiation in calculus, specifically addressing a problem presented by a participant who is seeking assistance with their calculations and understanding of the concept.

Discussion Character

  • Homework-related, Mathematical reasoning

Main Points Raised

  • A participant expresses difficulty with implicit differentiation and shares their work, seeking guidance on the next steps.
  • Another participant confirms that the approach taken is correct and suggests collecting the y' terms to proceed.
  • The original poster indicates they have resolved their confusion after receiving feedback.

Areas of Agreement / Disagreement

Participants generally agree on the correctness of the approach taken by the original poster, with no significant disagreement noted.

Contextual Notes

None noted.

Who May Find This Useful

Students studying calculus, particularly those learning about implicit differentiation and seeking peer support in problem-solving.

playdohh
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Hi, I'm doing an online course for Calculus 12 and I have been struggling with Implicit Differentiation, hoping someone could maybe help me. Thanks.

I'm not positive I'm doing this right but maybe someone can point me in the right direction, this is what I have so far

y/(x-y) = x^2+1

y=(x^2+1)(x-y)

y' = (2x)(x-y)+(x^2+1)(1-y')

y' = 2x^2-2xy+x^2-x^2y'+1-y'

This is where I get stuck and am not sure if I'm making a mistake or know what to do next. Any help would be appreciated, thank you.
 
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I just realized I posted this in the wrong section, Sorry. I'm not sure how to delete it.
 
Hey playdohh.

What you've done is right. Just collect the y' terms on one side and you're done.
 
awesome thanks, I think I got it now =)
 

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