CAIE P3 2007 November — Question 4

Exam BoardCAIE
ModuleP3 (Pure Mathematics 3)
Year2007
SessionNovember
TopicDifferentiating Transcendental Functions
4 The curve with equation \(y = \mathrm { e } ^ { - x } \sin x\) has one stationary point for which \(0 \leqslant x \leqslant \pi\).
  1. Find the \(x\)-coordinate of this point.
  2. Determine whether this point is a maximum or a minimum point.
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