00:01
Here we're given the graph of a function f of x, and we're asked for some details.
00:05
First off, we want to know what is the absolute maximum value.
00:09
Well, that's going to be the highest it ever goes.
00:12
So that's going to happen at 5, and it's a value of 5, right here.
00:19
Now it asks list all the values where f is not differentiable.
00:23
So for part b, that's going to happen anytime there is a sharp turn like here, or it's not connected like here.
00:33
So there's also a sharp turn here.
00:35
And then the end points will just say it's right or left differentiable.
00:39
We won't worry about the endpoints.
00:42
So we're going to get a point of 1, 3, and 5.
00:46
Those are the points i circled.
00:48
For part c, we want to know what is the value of the derivative at 6.
00:53
So that's going to be at this point.
00:55
That's the slope of the curve.
00:57
That's just y2 minus y1 over x2 minus x2, change in y over change in x.
01:02
So from 5 to 7, that's a good number to use, i'm going to see that it has the same slope...