00:01
Here, we want to relate the graph of a derivative, which is shown in blue, to the graph of the function in red.
00:09
So what i like to do is think of it as a power, because the derivative of a fourth power is a third.
00:17
Derivative of a third is a second.
00:18
Derivative of a second power is linear, and the derivative of a linear is constant.
00:22
So if i look at part a and i say, what does its derivative look like? well, to me, this is a negative cubic.
00:35
So i'm just going to say y equals negative x cubed.
00:38
It's not really the graph.
00:39
It's not exactly the graph, but it's a cubic.
00:43
Its derivative will be a negative quadratic.
00:47
So that looks like this one.
00:51
So i'm going to say that one's derivative is number three...