I'm trying to solve a problem using derivative.
The dimensions of a rectangular box are 5m, 6m and 8m. With a possible error of 0,01m in each dimension. Calculate the approximate value of volume and the possible error.
I know that V = l × w × h.
But I don't know where to go from here.
Hint:
Alter your volume formula to be the following
$V = (l \pm \epsilon) \times (w \pm \epsilon) \times (h \pm \epsilon)$
where $\epsilon$ is your error. You should get an upper bound (when you use the $+$) and a lower bound (when you use $-$).