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Determine the exact gradient of the curve at the point for which $t = \frac{1}{6}\pi$.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The curve is described parametrically by $x = 3t + \sin 2t$, $y = 4 + 2\cos 2t$.
Worked solution & mark scheme
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State either $\frac{dx}{dt}=3+2\cos 2t$ or $\frac{dy}{dt}=-4\sin 2t$ (or both)” …
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