(a)[3]
Determine the value of $t$ at the point $P$ on the curve for which $x = \ln 4$.
(b)[5]
Calculate the exact gradient of the curve at $P$.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The curve is given by the parametric equations $x = \ln(2t + 6) - \ln t$, $y = t\ln t$.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Set $x$ equal to $\ln4$ and apply the relevant logarithm law” …
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