00:01
Here we are given the graph of the derivative of a function and we want to know where the original function is doing certain things.
00:06
For example, where is it increasing and decreasing? well, let's just go ahead and do a number line here because what you want to do when you find where a function is increasing or decreasing, you just take the derivative set equal to zero or undefined.
00:16
So we have critical points at 2, 4, 6, and 8.
00:19
Then we find what is the value of the derivative.
00:21
It's positive here, negative, positive, negative, and positive.
00:25
So that tells me it's increasing anywhere i wrote a positive because the derivative is above the axis.
00:30
It's positive.
00:31
Now if i want to know where it's got a local max or min, let's just classify each of these...