Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The curve is defined by $3x^2 + 4xy + y^2 = 24$.
(main)[8]

Determine the equation of the normal to the curve at the point $(1, 3)$, and give your result in the form $ax + by + c = 0$ where $a$, $b$ and $c$ are integers.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Differentiate $4xy$ to give $4y + 4x\frac{dy}{dx}$” …

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