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Tricky derivative

  1. Aug 31, 2010 #1
    1. The problem statement, all variables and given/known data

    if x^2*y-e^2x=sin(y) find dy/dx


    3. The attempt at a solution

    I tried solving for y but that seems quite impossible so I was wondering if anyone had any other suggestions on possible solutions. Thanks
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Aug 31, 2010 #2

    Office_Shredder

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    Do you know what implicit differentiation is?
     
  4. Aug 31, 2010 #3
    yes...thanks for reminding me of that. the left side isn't a problem but how do you differentiate sin(y) with respect to x?
     
  5. Aug 31, 2010 #4
    actually wouldn't it just be 0? then dy/dx is e^2x/x
     
  6. Aug 31, 2010 #5

    Office_Shredder

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    You have sin(y). y is a function of x so you could write this as sin(y(x)). Then use the chain rule
     
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