00:01
For this problem, we need to find the absolute minimum and maximum on the interval negative 3 to 4.
00:08
In order to do that, we need to determine the critical points and the end points, and then we can determine the absolute minimum and maximum on the interval.
00:21
So the function that we're given is x to the 4th minus 8x squared plus 6.
00:26
So the first thing we're going to do is find the derivative, and that will help us identify the critical points.
00:38
All right, so we get 4x to the third minus 16x.
00:46
All right, so we'll factor because we need to set this equal to zero to find the critical points.
00:53
So we will factor that out, and we'll factor out a gcf of 4x, leaving us with x squared minus four set that equal to zero.
01:15
All right, find all the factors.
01:31
All right, so we'll find out for the critical points for the x values...