Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The parametric form of the curve is $x = e^{\tan t}$, $y = 3\tan^2 t$.
(main)[6]

Find the tangent equation at the point $(e, 3)$. Give your result as $y = mx + c$, with $m$ and $c$ exact.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “At $(e,3)$, obtain $\tan t=1$ or $t=\tfrac{\pi}{4}$.” …

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