Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The curve is given by the equation $e^{2x}\cos 2y + \sin y = 1$.
(main)[5]

Find the exact gradient of the curve at the point $(0, \tfrac{1}{6}\pi)$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Differentiate $e^{2x}\cos 2y$ using the product rule and show the implicit differentiation.

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