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Show that the curve has exactly one point where the tangent is parallel to the $x$-axis, and determine the $y$-coordinate of that point.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The curve is defined by the equation $2x^2y - xy^2 = a^3$, where $a$ is a positive constant.
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This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State $4xy+2x^2\frac{dy}{dx}$ as the derivative, or an equivalent expression” …
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