I know this is basic, but I've managed to get myself confused. So, I have an object at location $(x,y,z)$ with uncertainty in the location of $(\delta x, \delta y, \delta z)$. What is the uncertainty in the distance from the origin to the object? I am getting
$\displaystyle \frac{x\delta x+y\delta y+z\delta z}{\sqrt{x^2+y^2+z^2}}$
Correct? This seems like a very natural example for uncertainty analysis, but I couldn't find it anywhere. Thanks.