(a)[3]
Show that the derivative can be written as $\frac{dy}{dx} = \frac{4x - 3}{3 - 2y}$.
(b)[6]
Find the coordinates of the two points on the curve where the gradient is $-1$.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
A curve is defined by $2x^2 - 3x - 3y + y^2 = 6$.
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Identifies $2y \frac{dy}{dx}$ as the derivative of $y^2$, or an equivalent statement” …
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