00:01
Here we're given the graph of a function.
00:02
Rather, we're told this is the derivative of a function and we want to know at what x values do local max and min values occur.
00:10
So if i look at where a local minimum occurs, what i have to do is find where the critical points are.
00:15
That's where the derivative, which is these points, is equal to zero.
00:19
So that means if i look over here, then we need to make a sine chart.
00:22
So this is positive, negative, positive, negative, positive.
00:25
Just is the graph here above the axis or below.
00:30
So going from positive to negative means it's a maximum.
00:32
So this one's a max and this one's a max and the other two are min.
00:38
So there's a min here and a min here...