OCR MEI C4 2008 June — Question 5

Exam BoardOCR MEI
ModuleC4 (Core Mathematics 4)
Year2008
SessionJune
TopicParametric equations

5 A curve has parametric equations \(x = 1 + u ^ { 2 } , y = 2 u ^ { 3 }\).
  1. Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) in terms of \(u\).
  2. Hence find the gradient of the curve at the point with coordinates \(( 5,16 )\).