CAIE P1 2017 November — Question 4

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2017
SessionNovember
TopicChain Rule

4 The function f is such that \(\mathrm { f } ( x ) = ( 2 x - 1 ) ^ { \frac { 3 } { 2 } } - 6 x\) for \(\frac { 1 } { 2 } < x < k\), where \(k\) is a constant. Find the largest value of \(k\) for which f is a decreasing function.