00:01
This video is going to discuss problems 42 and 43, as well as 44 and 45.
00:08
We're going to do the multiple choice questions.
00:10
So we're first asked to find the instantaneous rate of change if we have f of x equals x squared minus 2 over x plus 4 at x equals negative 1.
00:26
So we take the derivative, that's going to be 2x plus 2 over x squared.
00:32
And when we plug in a negative 1, that's going to be negative 2, and then this is going to just be 2.
00:39
So we end up getting 0 as our answer.
00:42
Then we want to find the instantaneous rate of change of the volume of a cube with respect to side length x.
00:51
So if we have the volume of a cube, that's equal to x cube, but if the side length is length x.
00:57
So when we take the rate of change, that's going to be 3x.
01:05
Then we know that a particle is moving along the line...