CAIE P2 2008 June — Question 6

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2008
SessionJune
TopicDifferentiating Transcendental Functions

6 It is given that the curve \(y = ( x - 2 ) \mathrm { e } ^ { x }\) has one stationary point.
  1. Find the exact coordinates of this point.
  2. Determine whether this point is a maximum or a minimum point.