CAIE P1 2023 November — Question 10

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2023
SessionNovember
TopicChain Rule

10 The equation of a curve is \(y = \mathrm { f } ( x )\), where \(\mathrm { f } ( x ) = ( 4 x - 3 ) ^ { \frac { 5 } { 3 } } - \frac { 20 } { 3 } x\).
  1. Find the \(x\)-coordinates of the stationary points of the curve and determine their nature.
  2. State the set of values for which the function f is increasing.