Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

A curve is given by the parametric equations $x = 2\ln(t + 1)$ and $y = 4e^t$.
(main)[6]

Find the tangent equation at the point on the curve corresponding to $t = 0$. Write your answer as $ax + by + c = 0$, with $a$, $b$ and $c$ all integers.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Find $\frac{dx}{dt}=\frac{2}{t+1}$

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI