OCR H240/02 2022 June — Question 5

Exam BoardOCR
ModuleH240/02 (Pure Mathematics and Statistics)
Year2022
SessionJune
TopicDifferentiation Applications
TypeFind second derivative
5 In this question you must show detailed reasoning. A curve has equation \(y = x ^ { 3 } - 3 x ^ { 2 } + 4 x\).
  1. Show that the curve has no stationary points.
  2. Show that the curve has exactly one point of inflection.
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