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Differentiating vector function [Mathematica]

  1. Jun 7, 2013 #1
    Hi.
    So I have this vector function which I need to differentiate, it is however very tricky to do by hand, so I'm doing it in Mathematica.
    [tex]\hat{u}=\left\langle\bar{u}+\bar{r}\frac{(1+\gamma)}{r(r+\bar{u}\cdot \bar{r})}\right\rangle[/tex]
    (The brackets denote normalisation)

    I want to do this differentiation for the different components of r but first I want to show:

    [tex]\frac{\partial\hat{u}}{\partial\gamma}=(\bar{r}-\bar{u}(\bar{u}\cdot\bar{r})\frac{1}{r(r+\bar{u}\cdot\bar{r})}[/tex]
    which I know to be correct from the paper I am basing my work on.
    So my question to you guys is, how would I show that equality in Mathematica?
     
  2. jcsd
  3. Jul 8, 2013 #2
    How come that there is no gamma dependence in you derivation?
     
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