WJEC Unit 1 2024 June — Question 12

Exam BoardWJEC
ModuleUnit 1 (Unit 1)
Year2024
SessionJune
TopicDifferentiation Applications
TypeFind stationary points

12. A curve \(C\) has equation \(y = - x ^ { 3 } + 12 x - 20\).
  1. Find the coordinates of the stationary points of \(C\) and determine their nature.
  2. Determine the range of values of \(x\) for which the curve is decreasing. Give your answer in set notation.