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Terminology question

  1. May 22, 2009 #1
    Hi,
    I have question about terminology for differential equations.
    Let's say that I have x, which is a function of t and p. p is also a function of t.
    So x(t, p(t)) is my function.
    Let's say that I take derivative of x with respect to, which will give me:
    xt + xppt

    In the above expression, what are xt pt are called? I mean terminology vise, if I want to make sensitivity analysis for the impact of t on x, t impacts x through it's own partial derivative, and through pt .

    Would I say direct effect through (xt) vs. indirect effect through (pt).

    Would it be "first order derivative" with respect to t through xt and "second order derivative" with respect to t through pt?

    Would it be "first level derivative" with respect to t through xt and "second level derivative" with respect to t through pt?

    Or would it be called something entirely different?

    Thanking you in advance for all your help
    Gulru
     
  2. jcsd
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