00:01
Here, we're given the graph of a function, and we're asked to find the derivative at different values of a.
00:05
So first off, if we're looking at a equals 1, that's right here.
00:11
What is the slope of this line? you'll notice it's flat.
00:15
So the slope of the flat line is always going to be zero.
00:22
Next, we want to find what's the derivative at 2.
00:24
Well, this is on the same exact line.
00:26
So the slope of that line is 0.
00:29
You can think of it as change in y over change in x.
00:31
As i go over 1x, y doesn't change.
00:35
Goes up zero.
00:37
Next, we want to know the derivative at 4...