Curvature Command

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Curvature[ <Point>, <Function> ]
Calculates the curvature of the function in the given point.
Example: Curvature[(0 ,0), x^2] yields 2.
Curvature[ <Point>, <Curve> ]
Calculates the curvature of the curve in the given point.
Example: Curvature[(0, 0), Curve[cos(t), sin(2t), t, 0, π]] yields 0.
Curvature[ <Point>, <Object> ]
Yields the curvature of the object (function, curve, conic) in the given point.
Examples:
  • Curvature[(0 ,0), x^2] yields 2
  • Curvature[(0, 0), Curve[cos(t), sin(2t), t, 0, π]] yields 0
  • Curvature[(-1, 0), Conic[{1, 1, 1, 2, 2, 3}]] yields 2
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