(a)[4]
Show that it follows that $\frac{dy}{dx}=\frac{2x-3y-1}{4y+3x}$.
(b)[3]
Hence show that the curve has no tangent parallel to the $x$-axis.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
A curve is described by $2y^2 + 3xy + x = x^2$.
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This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State or imply $4y\,\tfrac{dy}{dx}$ as the differentiated form of $2y^2$” …
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