(a)[5]
Show that the curve's gradient is always positive.
(b)[3]
Find the equation of the tangent to the curve at the point where it meets the $y$-axis.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
A curve is given by the parametric equations $x = \ln(2 + 3t)$, $y = \frac{t}{2 + 3t}$.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Differentiate $x$ or $y$ correctly using the chain rule or quotient rule” …
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