CAIE P3 2010 November — Question 4

Exam BoardCAIE
ModuleP3 (Pure Mathematics 3)
Year2010
SessionNovember
TopicAddition & Double Angle Formulae
4 It is given that \(\mathrm { f } ( x ) = 4 \cos ^ { 2 } 3 x\).
  1. Find the exact value of \(\mathrm { f } ^ { \prime } \left( \frac { 1 } { 9 } \pi \right)\).
  2. Find \(\int \mathrm { f } ( x ) \mathrm { d } x\).
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