CAIE P2 2010 June — Question 5

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2010
SessionJune
TopicDifferentiating Transcendental Functions
5 The equation of a curve is \(y = x ^ { 3 } \mathrm { e } ^ { - x }\).
  1. Show that the curve has a stationary point where \(x = 3\).
  2. Find the equation of the tangent to the curve at the point where \(x = 1\).
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