Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The equation of a curve is $3\ln x + 6xy + y^2 = 16$.
(main)[7]

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

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Derive $6y+6x\frac{dy}{dx}$ as the derivative of $6xy$” …

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