| Exam Board | CAIE |
| Module | P1 (Pure Mathematics 1) |
| Year | 2021 |
| Session | June |
| Topic | Chain Rule |
2 The function f is defined by \(\mathrm { f } ( x ) = \frac { 1 } { 3 } ( 2 x - 1 ) ^ { \frac { 3 } { 2 } } - 2 x\) for \(\frac { 1 } { 2 } < x < a\). It is given that f is a decreasing function.
Find the maximum possible value of the constant \(a\).