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Find the $x$-coordinate of the point on the curve where the $x$- and $y$-coordinates are increasing at the same rate.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
A curve is defined by $y = \frac{1}{60}(3x + 1)^2$, and a point moves along this curve.
Worked solution & mark scheme
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Differentiate correctly to obtain $\frac{dy}{dx}=\frac{1}{60}(3x+1)x^2\times3$ (or an equivalent expression).” …
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