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Determine the $y$-coordinate of $P$.
Mathematics 9709 · AS & A Level · Coordinate geometry
Coordinate geometry — practice question
The curve is given by $y = ax^{\frac{1}{2}} - 2x$, for $x > 0$, with $a$ as a constant. It has a stationary point at $P$, whose $x$-coordinate is $9$.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Differentiate to get $\frac{dy}{dx}=\frac{1}{2}ax^{-\frac{1}{2}}-2$.” …
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