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Implict partial derivative

  1. Dec 21, 2012 #1
    1. The problem statement, all variables and given/known data

    x3 + y3 + z3 - 3xyz = 6

    Find (∂y/∂x)z.

    2. Relevant equations



    3. The attempt at a solution[/

    can i simply take the partial derivative of both sides treating z as constant?

    x3 + y3 + z3 - 3xyz - 6 = 0

    f(x,y,z) = 0

    (∂f/∂x)z = 0
     
  2. jcsd
  3. Dec 21, 2012 #2

    haruspex

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  4. Dec 21, 2012 #3

    HallsofIvy

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    That z is to be held constant and y thought of as a function of x only is precisely what that subscript "z" means.
     
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