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Find the rate of change of the $y$-coordinate for $x = 1$.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
A point travels along the curve $y = 2x + \frac{5}{x}$ so that the $x$-coordinate rises at a steady rate of $0.02$ units per second.
Worked solution & mark scheme
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Differentiates $y=2x+\frac{5}{x}$ to get $\frac{dy}{dx}=2-\frac{5}{x^2}$, then substitutes $x=1$ to obtain $-3$.” …
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