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Show that exactly one point on the curve has a tangent parallel to the $x$-axis, and determine the coordinates of this point.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The curve is defined by $xy(x - 6y) = 9a^3$, where $a$ is a non-zero constant.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State $2xy+x^2\frac{dy}{dx}$, or an equivalent form, for the derivative of $x^2y$” …
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