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Implicit Differentiation: two different answers

  1. Aug 12, 2015 #1
    1. The problem statement, all variables and given/known data

    upload_2015-8-12_21-14-47.png
    with answers given:

    upload_2015-8-12_21-15-58.png
    2. Relevant equations
    use implicit differentiation

    3. The attempt at a solution
    I always get this answer

    upload_2015-8-12_21-17-54.png
    but not the second one

    PLs explain the second answer for I am very desperate.
    Thank You
     

    Attached Files:

  2. jcsd
  3. Aug 12, 2015 #2
    Use what you begin with i.e. ##(x-y)^3 = (x+y)^2## inside the expression you get from implicit differentiation

    Show your steps
     
  4. Aug 12, 2015 #3

    SammyS

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    Please state the entire problem.
     
  5. Aug 26, 2015 #4
    In order to get the second answer, you need to take the ln of both sides of the equation, then differentiate implicitly. After rearranging, if done right (presumably the second answer is correct), you should have the same answer.
     
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