OCR MEI C3 2007 January — Question 5

Exam BoardOCR MEI
ModuleC3 (Core Mathematics 3)
Year2007
SessionJanuary
TopicProduct & Quotient Rules

5 The equation of a curve is \(y = \frac { x ^ { 2 } } { 2 x + 1 }\).
  1. Show that \(\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { 2 x ( x + 1 ) } { ( 2 x + 1 ) ^ { 2 } }\).
  2. Find the coordinates of the stationary points of the curve. You need not determine their nature.