(i)[4]
Show that $\frac{dy}{dx}=-12\cos t$.
(ii)[2]
Find the coordinates of $M$
(iii)[4]
Find the gradient of the curve at $P$ and at $Q$
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The diagram presents the curve defined by the parametric equations $x = 2 - \cos t$, $y = 1 + 3 \cos 2t$, for $0 < t < \pi$. The lowest point is $M$, and the curve intersects the $x$-axis at $P$ and $Q$.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State $\frac{dx}{dt}=\sin t$ and $\frac{dy}{dt}=-6\sin2t$.” …
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