(i)[5]
Find the equation of the tangent line to the curve at the origin.
(ii)[4]
Find the coordinates of the stationary point, with each coordinate correct to $2$ decimal places.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
A curve is defined by the parametric equations $x = t + \ln(t + 1)$ and $y = 3te^{2t}$.
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Apply the product rule to differentiate $y$, giving $k_1e^{2t}+k_2te^{2t}$” …
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