CAIE P3 2006 November — Question 3

Exam BoardCAIE
ModuleP3 (Pure Mathematics 3)
Year2006
SessionNovember
TopicDifferentiating Transcendental Functions
3 The curve with equation \(y = 6 \mathrm { e } ^ { x } - \mathrm { e } ^ { 3 x }\) has one stationary point.
  1. Find the \(x\)-coordinate of this point.
  2. Determine whether this point is a maximum or a minimum point.
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