And we talk about that in other videos. So I'm now going to make a few claims in this video. And I'm not going to prove them rigorously. There is another video that will go a little bit more into the proof direction. But this is more to get an intuition. And so the first claim that I'm going to make is if F is differentiable at X equals C, at X equals C, then F is continuous at X equals C. So I'm saying if we know it's differentiable, if we can find this limit, if we can find this derivative at X equals C, then our function is also continuous at X equals C. It doesn't necessarily mean the other way around. And actually, we'll look at a case where it's not necessarily the case the other way around, that if you're continuous, then you're definitely differentiable.