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Gradient function?

  1. Mar 27, 2005 #1
    I was reading this ebook when I found Coulomb's law:
    What I'm unsure of is how the gradient function applied to 1/|x-x'| is the same thing as |x-x'|/|x-x'|^3...
    I know what the gradient function is but I'm totally lost as to how the formula was transformed that way..
    Can anyone care to explain?
    Thanks alot.
  2. jcsd
  3. Mar 27, 2005 #2


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    [tex] \nabla_{\vec{r}}\left(\frac{1}{r}\right) [/tex]


    [tex] r=:\sqrt{(x-x')^{2}+(y-y')^{2}+(z-z')^{2}} [/tex]


    [tex] \nabla_{\vec{r}}=\frac{\partial}{\partial x} \vec{i}+ \frac{\partial}{\partial y} \vec{j} +\frac{\partial}{\partial z} \vec{k} [/tex]

    Last edited: Mar 27, 2005
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