CAIE P1 2013 November — Question 9

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2013
SessionNovember
TopicProduct & Quotient Rules

9 A curve has equation \(y = \frac { k ^ { 2 } } { x + 2 } + x\), where \(k\) is a positive constant. Find, in terms of \(k\), the values of \(x\) for which the curve has stationary points and determine the nature of each stationary point.