OCR C1 2012 June — Question 8

Exam BoardOCR
ModuleC1 (Core Mathematics 1)
Year2012
SessionJune
TopicDifferentiation Applications
TypeFind stationary points

8
  1. Find the coordinates of the stationary point on the curve \(y = x ^ { 4 } + 32 x\).
  2. Determine whether this stationary point is a maximum or a minimum.
  3. For what values of \(x\) does \(x ^ { 4 } + 32 x\) increase as \(x\) increases?