(i)[5]
Find the exact gradient of the curve at point $P$ when $y = 6$.
(ii)[3]
Show that the tangent to the curve at $P$ passes through the point $(1, 0)$.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
A curve is described parametrically by $x = 1 + \sqrt{t}$ and $y = 3 \ln t$.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State $\dfrac{dx}{dt}=\tfrac12 t^{-\tfrac12}$ or $\dfrac{dy}{dt}=\dfrac3t$” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI