Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The curve is defined by $y = 2x^2 - \frac{1}{2x} + 3$.

(a)[3]

Find the coordinates of the stationary point.

(b)[2]

Determine the nature of the stationary point.

(c)[2]

For positive values of $x$, decide whether the curve is increasing, decreasing or neither, and justify your answer.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Differentiate to get $4x+\tfrac12 x^{-2}$” …