Partial derivative problem

Discussion in 'Math' started by xxxyyyba, Aug 7, 2012.

  1. xxxyyyba

    Thread Starter Member

    Aug 7, 2012
    249
    2
    Hi!
    Here is my function:

    [​IMG]

    My task is to find:

    [​IMG]

    I think I know how to find ∂u/∂x, but I have no idea how to find ∂/∂z(∂u/∂x). Here is how I found ∂u/∂x:

    [​IMG]

    Does someone know how to find ∂/∂z(∂u/∂x)?
    I appreciate any help :)
     
  2. Zazoo

    Member

    Jul 27, 2011
    114
    43
    ∂u/∂x is simply the derivative of u with all variables except x help constant. Once you get this result, find the partial derivative of the result, this time holding all variables except z constant. That is ∂/∂z(∂u/∂x).

    e.g. If you had u = xzy then ∂/∂z(∂u/∂x) = ∂/∂z(zy) = y
     
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