00:01
Okay, so you want to find the absolute minimum of f of x is equal to x cubed minus 3x squared plus 16.
00:11
You're on the interval from negative 1 to 1.
00:14
Let's find the derivative.
00:17
That's 3x squared minus 6x.
00:25
And then we want where the derivative is equal to 0.
00:29
So let's factor out a 3x.
00:31
So 3x is x minus 2.
00:35
Is equal to 0, so that means x is equal to 0 or x is equal to 2.
00:47
So we have the interval.
00:50
If you plug in something less than 0, so negative 1 cubed minus 3 times negative 1 squared plus 16, this is positive.
01:04
If you plug in 1, so negative 1 cubed minus 3 plus 16 is 14...