Thank you for your informative post.
But what I still don't get is what they are showing?
If I make a measurement of x = 2 +/- 1 otherwise written as x = [1,3]
Then y = x² would be [1,9]
Using the rule derived dy = y (2 dx / x) = 2 x dx = 2*2*1 = 4
y = 2² +/- 4 = [0,8] ≠ [1,9]
So what...