A curve, C, has stationary points at the points where x = 0 and where x =

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A curve, C, has stationary points at the points where x = 0 and where x = 2.

a. Explain why dy/dx = x2 − 2x is a possible expression for the gradient of C.

Give a different possible expression for dy/dx.

b. The curve passes through the point (3, 2).

Given that dy/dx is x2 − 2x, find the equation of C.

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