00:01
For this problem, we are asked to estimate the derivative of the given function, using the graph, at negative 1, positive 1, 4, and at 6.
00:11
So there are many different ways that you can do this, but the way that i'm going to be doing this is by creating tangent lines at each one of the points and using the slope of the tangent line to estimate the value of the derivative at that point.
00:25
So we can see that at negative 1, f prime of negative 1, we have an increase.
00:35
It seems like f of negative 1 is about 5, and we reach 6 after going across.
00:42
Well, actually, i guess if we go across by 1, you can see that we go up to about 6 .75.
00:49
So the slope there would be about approximately positive 1 .75.
00:55
For f prime of positive 1, let's see here, it would appear that at positive 1, a tangent line is just a horizontal line across.
01:12
So we can estimate f prime of positive 1 as being approximately 0...