OCR H240/03 — Question 6

Exam BoardOCR
ModuleH240/03 (Pure Mathematics and Mechanics)
TopicDifferentiation Applications
TypeFind stationary points
6 A curve has equation \(y = x ^ { 2 } + k x - 4 x ^ { - 1 }\) where \(k\) is a constant. Given that the curve has a minimum point when \(x = - 2\)
  • find the value of \(k\)
  • show that the curve has a point of inflection which is not a stationary point.
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