CAIE P1 2010 November — Question 5

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2010
SessionNovember
TopicProduct & Quotient Rules

5 A curve has equation \(y = \frac { 1 } { x - 3 } + x\).
  1. Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) and \(\frac { \mathrm { d } ^ { 2 } y } { \mathrm {~d} x ^ { 2 } }\).
  2. Find the coordinates of the maximum point \(A\) and the minimum point \(B\) on the curve.