CAIE P3 2002 November — Question 4

Exam BoardCAIE
ModuleP3 (Pure Mathematics 3)
Year2002
SessionNovember
TopicExponential Functions

4 The curve \(y = \mathrm { e } ^ { x } + 4 \mathrm { e } ^ { - 2 x }\) has one stationary point.
  1. Find the \(x\)-coordinate of this point.
  2. Determine whether the stationary point is a maximum or a minimum point.