Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The figure represents a closed cubical container formed from a thin elastic material, filled with water and then frozen. While freezing takes place, the edge length, $x$ cm, of the container rises at the fixed rate of $0.01$ cm per minute. At time $t$ minutes, the volume of the container is $V$ cm$^3$.
(main)[3]

Find the rate at which $V$ increases when $x = 20$.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Differentiate to obtain $\frac{dV}{dx}=3x^2$” …

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