At the point (x, y), where x > 0, the gradient of a curve is given by

The point P(2, 1) lies on the curve.

(a) (i) Verify that = 0 when x = 2.

(ii) Find the value of when x = 2.

(iii) Hence state whether P is a maximum point or a minimum point, giving a

reason for your answer.

(b) Verify that the curve has only one turning point in the given domain.