I'm having trouble starting this problem. my intuition is to express the curvature of alpha as
$$\dfrac{\vert (\alpha ' \times \alpha'')\vert}{\vert \alpha ' \vert^3}.$$
Any help would be appreciated. 
2026-04-13 03:14:43.1776050083
Proving that curvature of a smooth curve alpha satisfies and equation.
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