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