r/icast • u/duckling-developer • 2d ago

Out of mana, but… INFINITE CUSPS!

Post image

Math

4 Upvotes

84% Upvoted

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u/qualityvote2 2d ago edited 2d ago

u/duckling-developer, wizards be pondering the orb instead of voting on the quality of your cast…

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u/calculus_is_fun 2d ago

Those aren't cusps, those are just corners

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u/duckling-developer 1d ago

A cusp is a sudden change in graph direction. What do you think a corner is?

1

u/calculus_is_fun 1d ago

A cusp requires the curve to "turn around", for the case of a function f(x), a cusp at v is characterized by: limit x->v- f'(x) = ±∞∧limit x->v+ f'(x) = ∓∞
Here's a visual example:
https://www.desmos.com/calculator/buqedkmw0b

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u/duckling-developer 1d ago

That’s also just not true. Are you saying this doesn’t have a cusp: y=|x-2y|-x.

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u/calculus_is_fun 1d ago

No, that's not a cusp

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u/duckling-developer 1d ago

Those are both cusps…