OCR MEI C4 — Question 6

Exam BoardOCR MEI
ModuleC4 (Core Mathematics 4)
TopicParametric equations

6 A curve has parametric equations $$x = \mathrm { e } ^ { 2 t } , \quad y = \frac { 2 t } { 1 + t }$$
  1. Find the gradient of the curve at the point where \(t = 0\).
  2. Find \(y\) in terms of \(x\).