00:02
So in this problem, we're asked to use this graph of y equals g of x, and to arrange the following numbers in increasing order, we're given 0, g prime of minus 2, g prime at 0, g prime at 2, and g prime at 4.
00:42
Okay.
00:44
Now, remember that g prime, the derivative, is the slope of the tangent line.
01:00
So if we begin to draw our tangent lines at these various different places, okay, so g prime at negative 2, so we draw one here at negative 2, so we draw a tangent line here at 0, at 2, and at 4.
01:36
Okay, so there's our four different tangent lines that we're looking at.
01:43
Well, first of all, first of all, with g of x increasing, i don't know why i have put, oh, yeah, g of x increasing, then g prime is greater than zero...