Consider a closed rectangular box with a square base of side 3cm and height 5cm. If the side is measured with an error at most 0.02cm and the height is measured with an error at most 0.01cm, use differentials to estimate the maximum possible error in computing the volume of the box.
Volume of the box = [x][/2] * [y][/2] , x base side, y height
The Attempt at a Solution
▽f(x,y) = x^2y + 2xy , x^2 * ((1+y))
and i am unsure of how i can move on from here! do i sub in the x and y values 3 and 5? or the error 0.02 and 0.01 respectively?