A curve has equation y = x/x 2 + 1. i. Find the coordinates of the stationary

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A curve has equation y = x/x2 + 1.

i. Find the coordinates of the stationary points on the curve.

ii. Show that d2y/dx2 = px3 + qx/(x2 + 1)3, where p and q are integers to be found, and determine the nature of the stationary point of the curve.

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