The equation of a curve is xy^2= x^2 +1. Find dx/dy in terms of x and y, and hence find the coordinates of the stationary points on the curve.
dy/dx = (2x-y2)/(2xy)Stationary points: (1, root(2)) , (1, -root (2))
dy/dx = (2x-y2)/(2xy)Stationary points: (1, root(2)) , (1, -root (2))
