What we're going to do in this video is try to get a graphical appreciation for inflection points, which we also cover in some detail in other videos. So the first thing to appreciate is an inflection point is a point on our graph where our slope goes from decreasing to increasing or from increasing to decreasing. So right over here I have the graph of some function, and let me draw the slope of a tangent line at different points. So when x is equal to negative two, that is what the tangent line looks like, and you can see its slope. And then as we increase x, we can see that the slope is positive, but it is decreasing. Then it goes to zero, and then it goes negative, and the slope keeps decreasing all the way until we get, it looks like, we get to about x equals negative one, and then our slope begins to increase again. So something interesting happened right at x equals negative one.