The graph of $ f $ is given. State, with reasons, the numbers at which $ f $ is $ not $ differentiable.
not differentiable at $x=-4, x=0,$
October 23, 2020
That was not easy, glad this was able to help
October 23, 2020
Finally, the answer I needed, thanks Daniel J.
Yeah. All right. So the question that I'm looking at has to do with places where functions are not differentiable. Um since there's no like graph um specific to this question provided, I'm just going to spend a little bit of time talking about places you want to look for um when you're looking for uh numbers where functions are not discontinuous. Okay. Or not? Sorry? Differentiable. Alright. So really we're looking for points of discontinuity. Okay. So we're looking for things like holes. Okay. So if I have a graph, here's my ex and my white access X. Y. And maybe my graph looks something like this, but I have one point there. Yeah, that's not. Mhm. That would be a that point right there, wherever whatever X value that is um the function would not be differentiable at that point. Okay. Another one is with vertical assume totes. Yes. The civil service. So if I have, for example, maybe some sort of like, mm hmm. Students, you gotta be like this sense. Mhm. This is something like this. Okay, wherever that vertical ascent, oh, whatever that X value is here, your function would not be just would not be um differentiable at that point. Um The other one that we can talk about is um jump just kind of unease. Okay. So if I have a piece wise function of some sort and maybe my graph goes like this and then jumps, we would not be differentiable at that point. Okay. Um also the other one is at what they call cusp sis. Okay. And a cusp Sorry. They'll expect a cusp is the best example of this is um the absolute value of X. Yes. Okay. So wherever you're v point is whatever your vertex is right there, that point is not going to be differentiable. Okay, So those are kind of the big ones that you want to look for when you're answering answering questions like this. That was helpful. It's.