(a)[4]
Write $\frac{dy}{dx}$ in terms of $x$ and $y$.
(b)[5]
The tangent to the curve where $x = 0$ and the tangent where $y = 0$ meet at the acute angle $\alpha$. Determine the exact value of $\tan \alpha$.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The curve is given by $x^3 + y^3 + 2xy + 8 = 0$.
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State or imply $3y^2\tfrac{dy}{dx}$ as the derivative of $y^3$” …
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