And let's focus on the point two comma zero because right over there, we actually are not differentiable. And if we zoom in far enough, we see right at two comma zero that we are approaching what looks like a vertical line. So once again, we would not be differentiable at two comma zero. Now another thing I wanna point out, all of these, you really didn't have to zoom in too much to appreciate that, hey, I got a corner here on this absolute value function, or at two comma zero or at negative two comma zero, something a little bit stranger than normal is happening there, so maybe I'm not differentiable. But there are some functions that we don't see as typically in a algebra or precalculus or calculus class, but it can look like a hard corner from a zoomed out perspective. But as we zoom in, once again, we'll see the local linearity, and they're also differentiable at those points. So a good example of that, let me actually get rid of some of these just so we can really zoom in.