(a)[4]
Show that the result is $\frac{dy}{dx} = -\frac{3x + 2y}{2x + 3y}$.
(b)[5]
Hence find the exact coordinates of the two points on the curve where the tangent is parallel to $y + 2x = 0$.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The curve is defined by $3x^2 + 4xy + 3y^2 = 5$.
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This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State or imply that the derivative of $3y^2$ is $6y\frac{dy}{dx}$.” …
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