CAIE P1 2024 June — Question 5

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2024
SessionJune
TopicProduct & Quotient Rules

5 The equation of a curve is \(y = 2 x ^ { 2 } - \frac { 1 } { 2 x } + 3\).
  1. Find the coordinates of the stationary point.
  2. Determine the nature of the stationary point.
  3. For positive values of \(x\), determine whether the curve shows a function that is increasing, decreasing or neither. Give a reason for your answer.