Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The equation for a curve is $2x^2 + 3xy + y^2 = 3$.
(i)[6]

Find the equation of the tangent to the curve at the point $(2, -1)$, and give your answer in the form $ax + by + c = 0$, where $a$, $b$ and $c$ are integers.

(ii)[4]

Show that the curve has no stationary points.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: Derive $3y+3x\dfrac{dy}{dx}$ as the derivative of $3xy$

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