Lecture 7: Geometry and Curves (46)

I thought it might be worth mentioning, for those who were wondering (like me), what C1 continuity is.

For a function f, C1 continuity implies that the function itself is continuous and that its first-order derivative is continuous. Alternatively, a more general definition for Cn continuity is that the function f(x), f'(x), ... f^{n}(x) are all continuous.

A more in-depth description can be found here

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