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Find the values of $x$ at the points where the rate of change of $x$ is the same as half the rate of change of $y$.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
Point $P(x, y)$ moves along the curve $y = x^2 - \frac{10}{3}x^3 + 5x$ so that the rate at which $y$ changes stays constant.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Differentiate to obtain $\frac{dy}{dx}=2x-5x^{\frac{1}{2}}+5$” …
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