00:01
So in this set of problems, because we don't have access to the actual sketch of the graph, that's completely fine.
00:08
However, what we are going to do is just kind of look at a general understanding of a graph of f of x, and then we're going to talk about how we can use a graph to sketch our own graph that's the derivative.
00:20
So let's say we have some random polynomial 3x cubed minus 2x squared plus x, or plus 3x, actually was 2 plus 3.
00:35
This is a good one.
00:36
So if i make this, make this, and then we'll actually make this plus 1.
00:44
So with this in mind, we want to figure out what the derivatives are going to be.
00:50
So what the derivative graph is going to look like.
00:53
Well, what we see is that if this was, for example, we know that the easiest thing to find is where the slope is going to be zero.
01:03
So we see that's going to be here and here.
01:06
So where we have a slope of zero, we're going to make sure that when we draw our derivative graph, that this point, 0 ,0 is on the graph, and that 1 .111 is on the graph as well...