Edexcel AEA 2009 June — Question 2

Exam BoardEdexcel
ModuleAEA (Advanced Extension Award)
Year2009
SessionJune
TopicDifferentiating Transcendental Functions
2. The curve \(C\) has equation \(y = x ^ { \sin x } , \quad x > 0\).
  1. Find the equation of the tangent to \(C\) at the point where \(x = \frac { \pi } { 2 }\).
  2. Prove that this tangent touches \(C\) at infinitely many points.
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