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Differentiation wrt time

  1. Feb 24, 2010 #1
    Hi I have an equation where x is a distance that varies with time, and i want to differentiate the expression again wrt to time, but I am struggling:

    [tex]\frac{dT}{dx^{.}}=Ir^{2}x^{.}\left[\frac{-(r^{2}+x^{2}-l^{2})2r-4rx^{2}}{\sqrt{1-(\frac{r^{2}+x^{2}-l^{2}}{2rx})4r^{2}x^{2}}}\right]^{2}[/tex]

    i dont know how easy it is to spot, but the 'dx' of dT/dx has a dot above the x, and there is another x(dot) after the Ir^2

    i want to differentiate wrt time, ie the x's become x dots and the x dots become x double dots.

    but I am struggling to differentiate it because there is a quotient rule and a couple of product rules.

    Can anyone see how to do this?
     
  2. jcsd
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