Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The curve is given by the equation $x^2 y + 2y^3 = 48$.
(main)[7]

Determine the equation of the normal to the curve at $(4, 2)$, and give your answer in the form $ax + by + c = 0$ with integer values of $a$, $b$ and $c$.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Differentiate $x^2y$ using the product rule

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