CAIE P2 2004 November — Question 5

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2004
SessionNovember
TopicDifferentiating Transcendental Functions
5 The curve with equation \(y = x ^ { 2 } \ln x\), where \(x > 0\), has one stationary point.
  1. Find the \(x\)-coordinate of this point, giving your answer in terms of e .
  2. Determine whether this point is a maximum or a minimum point.
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