(i)[3]
The curve $y = 3\cos 2x - 5\sin x$ at $\left(\tfrac{1}{6}\pi, -1\right)$.
(ii)[5]
The equation $x^{3} + 6xy + y^{3} = 21$ at $(1, 2)$.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
For each curve below, determine the exact gradient at the marked point:
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This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Differentiate so that the result has the form $k_1\sin 2x + k_2\cos x$” …
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