00:01
Alright so we have this graph and we want to figure out some various things for it.
00:04
So one where it's discontinuous and those happen at minus two and minus four.
00:33
That's where there's breaks in the line.
00:38
Not differentiable.
00:43
It means the derivative doesn't exist.
00:47
So at minus two, because there's not a point there so the function is not defined.
00:54
And even though we could use a limit and define the value there, we're not doing it.
01:01
So there's no value at that point.
01:08
So that's the minus four.
01:10
At minus two, it's not.
01:15
And then at two, because at two it kind of comes up like this and goes down.
01:23
So there's not a different derivative there.
01:30
The limit, so from the graph, we have to go to minus two from above, which means it's zero.
01:46
Because we're on that circular part there.
01:50
Coming to minus two from above.
01:53
From below, it's not the same.
02:00
Number four, okay so at x equals four, it's continuous and the value there is minus one, which you can get from the graph.
02:20
Number five, and as i was kind of pointed out in number two, at minus four, this is undefined.
02:51
Because the function is undefined there, we can't define the derivative.
03:06
Number six, okay, so that is, the shape of it there is it's a quarter circle.
03:27
But it's below the axis, so the area from zero to two is going to be negative...