CAIE P1 2019 June — Question 8

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2019
SessionJune
TopicChain Rule

8 A curve is such that \(\frac { \mathrm { d } y } { \mathrm {~d} x } = 3 x ^ { 2 } + a x + b\). The curve has stationary points at \(( - 1,2 )\) and \(( 3 , k )\). Find the values of the constants \(a , b\) and \(k\).