AQA Paper 1 Specimen — Question 9 8 marks

Exam BoardAQA
ModulePaper 1 (Paper 1)
SessionSpecimen
Marks8
TopicProduct & Quotient Rules

9 A curve has equation \(y = \frac { 2 x + 3 } { 4 x ^ { 2 } + 7 }\) 9
    1. Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\)
      [0pt] [2 marks]
      L
      L
      LL
      LU
      L
      LL 9
  1. (ii) Hence show that \(y\) is increasing when \(4 x ^ { 2 } + 12 x - 7 < 0\)
    [0pt] [4 marks]
    9
  2. Find the values of \(x\) for which \(y\) is increasing.
    [0pt] [2 marks] Turn over for the next question