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Prove that there is a single point on the curve where the tangent is parallel to the $x$-axis, and determine the coordinates of this point.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The curve is described by the equation $x y (x - 6y) = 9 a^3$, 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: “Differentiate accurately by using the product or quotient rule to generate terms that include $\frac{dy}{dx}$” …
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