The function f is defined for x > 0 and is such that

The curve y = f(x) passes through the point P(2, 6).
i. Find the equation of the normal to the curve at P.
ii. Find the equation of the curve.
iii. Find the x-coordinate of the stationary point and state with a reason whether this point is a maximum or a minimum.

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f'(x) = 2x - 2 x²