A curve has equation x 2 6xy + 25y 2 = 16. Show that dy/dx =

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A curve has equation x2 – 6xy + 25y2 = 16. Show that dy/dx = 0 at the point (3, 1).

By finding the value of d2y/dx2 at the point (3, 1), determine the nature of this turning point.

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