OCR AS Pure 2017 Specimen — Question 4

Exam BoardOCR
ModuleAS Pure (AS Pure Mathematics)
Year2017
SessionSpecimen
TopicDifferentiation Applications
TypeFind stationary points

4 The curve \(y = 2 x ^ { 3 } + 3 x ^ { 2 } - k x + 4\) has a stationary point where \(x = 2\).
  1. Determine the value of the constant \(k\).
  2. Determine whether this stationary point is a maximum or a minimum point.