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Help with derivative

  1. Mar 20, 2013 #1
    1. The problem statement, all variables and given/known data

    Taking the derivative of f(p)/p with respect to x,y,z separately. p = √(x^2+y^2+z^2) while f(p) is a scalar function that we don't know about

    2. Relevant equations

    f(p)/p

    3. The attempt at a solution

    I just wanted to know if the following is a legitimate way of doing it:

    for partial derivative with respect to x: (f'(p)*pxp-f(p)*px)/p2

    Similarly for derivative with respect to y: (f'(p)*pyp-f(p)*py)/p2

    or is putting f'(p)*px invalid (i was thinking take the derivative of outside multiply by derivative of inside, but I'm not sure if the chain rule can be applied the way I did)
     
    Last edited: Mar 20, 2013
  2. jcsd
  3. Mar 20, 2013 #2

    Dick

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    Science Advisor
    Homework Helper

    Looks fine so far.
     
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