00:01
We are asked to find the maximum error in finding the volume of a box with an error measurement of 1mm which is equal to 0 .1 cm also we are given that the length and width of the box is nothing but 10 cm and the height of the box is 5 cm recall that volume of a box can be written as the product of its length, width and height.
00:36
Therefore, the maximum error in finding volume, that is, dv, is nothing but the derivative of the rhs.
00:45
As you can see, the right hand side is in product form, so we have to differentiate them one by one.
00:52
To do that, first let's keep the term w and h as it is and differentiate l.
01:00
So we will get w h times dl.
01:04
Plus, let's differentiate w and keep the term l and h as it is.
01:10
So we will get lh times dw.
01:14
Plus let's keep the term lw as it is and differentiate h.
01:20
So we will get lw times d .h...