(a)[4]
Determine the rate at which the $y$-coordinate is increasing when $x = 1$.
(b)[3]
Determine the value of $x$ when the $y$-coordinate is increasing at $\frac{5}{8}$ units per minute.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
A point $P$ is travelling on a curve so that the $x$-coordinate of $P$ is rising at a steady rate of $2$ units per minute. The curve is given by $y = \sqrt{5x - 1}$.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Differentiate to get $\frac{dy}{dx}=\frac12(5x-1)^{-\frac{1}{2}}\cdot5$” …
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