Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

For each curve shown below, determine the exact gradient at the marked point:
(i)[3]

$y = 3\cos 2x - 5\sin x$ at $\left(\tfrac{1}{6}\pi, -1\right)$.

(ii)[5]

$x^3 + 6xy + y^3 = 21$ at $(1, 2)$.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Differentiate to give the form $k_1\sin 2x + k_2\cos x$” …

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