(a(i))[4]
Show that $\frac{dy}{dx} = \frac{6 - 2xy}{x^2 + 2y}$.
(a(ii))[3]
Find the equation of the tangent to the curve at the point with coordinates $(1, 2)$, and give your answer in the form $ax + by + c = 0$.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The curve is given by $x^2y + y^2 = 6x$.
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This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State that $2xy+x^2\frac{dy}{dx}$ is the derivative of $x^2y$” …
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