OCR C1 2008 January — Question 8

Exam BoardOCR
ModuleC1 (Core Mathematics 1)
Year2008
SessionJanuary
TopicDifferentiation Applications
TypeFind stationary points
8
  1. Find the coordinates of the stationary points on the curve \(y = x ^ { 3 } + x ^ { 2 } - x + 3\).
  2. Determine whether each stationary point is a maximum point or a minimum point.
  3. For what values of \(x\) does \(x ^ { 3 } + x ^ { 2 } - x + 3\) decrease as \(x\) increases?
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