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Homework Help: Partial derivative that contains the independent variable as an deriva

  1. Oct 9, 2013 #1
    1. The problem statement, all variables and given/known data

    [itex]\frac{\partial f}{\partial t},\frac{\partial f}{\partial x}[/itex] where [itex] f=f(x,t,\frac{dx}{dt})[/itex]

    2. Relevant equations



    3. The attempt at a solution

    I think it's impossible to consider it as a simple partial derivative.
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Oct 9, 2013 #2

    haruspex

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    No, it's quite valid. E.g. suppose f represents a force which can act on a particle and depends on the position pf the particle, its speed, and time. A different trajectory of the particle could lead to its having the same speed at the same time, but be in a slightly different position. The affect on f would depend on the partial derivative wrt x.
     
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