CAIE P1 2014 November — Question 8

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2014
SessionNovember
TopicChain Rule

8 A curve \(y = \mathrm { f } ( x )\) has a stationary point at \(( 3,7 )\) and is such that \(\mathrm { f } ^ { \prime \prime } ( x ) = 36 x ^ { - 3 }\).
  1. State, with a reason, whether this stationary point is a maximum or a minimum.
  2. Find \(\mathrm { f } ^ { \prime } ( x )\) and \(\mathrm { f } ( x )\).