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## Homework Statement

I'm having a hard time following a taylor expansion that contains vectors...

http://img9.imageshack.us/img9/9656/blahz.png [Broken]

http://g.imageshack.us/img9/blahz.png/1/ [Broken]

## Homework Equations

## The Attempt at a Solution

Here's how I would expand it:

-GMR/R^3 - GMr/R^3 + 3GMR/R^5*(R + r) + 3GMR/R^5(r + R)

So you take d/dR(R^2 + r^2 + 2r dot R)^5/2 and then take d/dr ?

I am basing my knowledge of multidimensional expansions off of what wikipedia is telling me, but I can't quite see how that r dot R term comes about

Anyone have any ideas?

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