Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The curve is given by the equation $x^2 + 4x\cos(3y) = 6$.
(main)[6]

Determine the exact gradient of the normal to the curve at $(\sqrt{2}, \tfrac{1}{12}\pi)$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Differentiate $4x\cos(3y)$ by using the product rule.

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