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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