Edexcel C3 2016 June — Question 2

Exam BoardEdexcel
ModuleC3 (Core Mathematics 3)
Year2016
SessionJune
TopicProduct & Quotient Rules

2.
  1. Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\), writing your answer as a single fraction in its simplest form.
  2. Hence find the set of values of \(x\) for which \(\frac { \mathrm { d } y } { \mathrm {~d} x } < 0\)
    2. $$y = \frac { 4 x } { x ^ { 2 } + 5 }$$