Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The curve is given in parametric form by $x=t^2-\ln(2t+1)$ and $y=\frac{t}{2t+1}$.

(main)[5]

Find a simplified formula for $\frac{dy}{dx}$ in terms of $t$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Give $\frac{dx}{dt}=2t-\frac{2}{2t+1}$” …