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Implicit Differentiation?

  1. May 8, 2014 #1
    1. The problem statement, all variables and given/known data

    Differentiate using implicit differentiation y^2sin(x)




    2. Relevant equations


    I know you need the chain rule and the product rule to solve this


    3. The attempt at a solution

    So, it would be:

    2yy' + y^2cos(x)

    Is that correct?
     
  2. jcsd
  3. May 8, 2014 #2

    Mark44

    Staff: Mentor

    No. Your expression is a product, so you need to use the product rule first.

    d/dx(y2sin(x)) = ?
     
  4. May 8, 2014 #3

    Oops! It should have been 2yy'sin(x)+y^2cosx
     
  5. May 8, 2014 #4
    That is correct.
     
  6. May 8, 2014 #5

    berkeman

    User Avatar

    Staff: Mentor

    Are you guys in the same class or something?
     
  7. May 8, 2014 #6
    Lolz. I barely noticed that they're two different people.
     
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