(i)[4]
Show, by differentiation, that $\frac{dy}{dx} = \frac{3x - 2y}{2x - 2y}$.
(ii)[5]
Determine the coordinates of every point on the curve at which the tangent is parallel to the $x$-axis.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The curve is defined by the equation $3x^2 - 4xy + 2y^2 - 6 = 0$.
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Write $4y \frac{dy}{dx}$ as the derivative of $2y^2$, or an equivalent expression” …
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