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Extremal curvature of graph y = exp(x)

Task 1

Point with extremal curvature is NOT the vertex of the curve.

Determine the extremal curvature k of the graph y=exp(x)

Task 2

Vertex of parabola (y + x)2 = x Parametrization of parabola: X = [t2; t-t2] Maximal curvature 5.66