Mathematics 9709 · AS & A Level · Coordinate geometry

Coordinate geometry — practice question

The curve is given by $y = x^2 - 2x - 3$. A point travels along the curve so that, at $P$, the $y$-coordinate is increasing at 4 units per second and the $x$-coordinate is increasing at 6 units per second.
(main)[4]

Determine the $x$-coordinate of $P$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Differentiate to obtain $\frac{dy}{dx}=2x-2$” …

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