Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The curve is given by $y = 3x + 1 - 4\sqrt{3x + 1}$ for $x > -\frac{1}{3}$.
(a)[3]

Find $\frac{dy}{dx}$ and $\frac{d^2y}{dx^2}$.

(b)[4]

Find the coordinates of the stationary point on the curve and determine its nature.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Differentiates the expression correctly to obtain $\frac{dy}{dx}$.

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