CAIE P1 Specimen — Question 5

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
SessionSpecimen
TopicProduct & Quotient Rules

5 A curve has equation \(y = \frac { 8 } { x } + 2 x\).
  1. Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) and \(\frac { \mathrm { d } ^ { 2 } y } { \mathrm {~d} x ^ { 2 } }\).
  2. Find the coordinates of the stationary points and state, with a reason, the nature of each stationary point.