Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The curve is described by $2x^3 + y^3 = 24$.
(i)[4]

Express $\frac{dy}{dx}$ in terms of $x$ and $y$, and show that the curve's gradient is never positive.

(ii)[5]

Find the coordinates of the two points on the curve where the gradient is $-2$.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State $3y^2 \frac{dy}{dx}$ as the derivative of $y^3$.” …

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