Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

A curve is represented by the parametric equations $x = \ln(2t + 3)$, $y = \frac{3t + 2}{2t + 3}$.

(main)[6]

Determine the gradient of the curve at the point where it intersects the $y$-axis.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “A correct derivative of $x$ is $\dfrac{2}{2t+3}$” …