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Taylor series with two variables

  1. Feb 8, 2014 #1
    Hi everyone,

    1. The problem statement, all variables and given/known data + 2. Relevant equations + 3. The attempt at a solution

    4o3VE30.jpg
     
  2. jcsd
  3. Feb 8, 2014 #2

    ehild

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    It is correct so far.

    ehild
     
  4. Feb 8, 2014 #3
    So the equations of d^2f and d^2f are correct? What are they called? (Total derivatives?)
     
  5. Feb 8, 2014 #4

    ehild

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    They are second-order and third-order total differentials. And you should write partial derivatives [itex]\frac{\partial f}{\partial x}[/itex], [itex]\frac{\partial f}{\partial y}[/itex] instead df/dx and df/dy, and so on... And the partial derivative [itex]\frac{\partial^2 f}{\partial x\partial y}[/itex] are not always the same as [itex]\frac{\partial^2 f}{\partial y\partial x}[/itex].

    And you omitted dxdy from the second term of d^2 f

    ehild
     
    Last edited: Feb 8, 2014
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