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. Let's say y is equal to x to the, and I'm gonna make a very large exponent here. So x to the 10th power, it's starting to look a little bit like a corner there. Let's make it to the 100th power.