Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

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

(a)[5]

Write $\frac{dy}{dx}$ in terms of $t$, and simplify your expression.

(b)[2]

Find the exact $y$-coordinate of the stationary point on the curve.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State that $\frac{dx}{dt}=1+\frac1{t+2}$” …