1. Sep 26, 2009

timmo567

as an example, say I am operating on r^2 with 2/r*d/dr :

do I differentiate r^2 first, then times by 2/r or times by 2/r and then differentiate. Confused as they give different answers

2. Sep 26, 2009

CompuChip

The operator works precisely as you would expect when you write it out. So
$$\left( \frac{2}{r} \frac{d}{dr} \right)(r^2) = \frac{2}{r} \left( \frac{d}{dr} r^2 \right).$$