SPS SPS SM 2020 June — Question 1

Exam BoardSPS
ModuleSPS SM (SPS SM)
Year2020
SessionJune
TopicDifferentiation Applications
TypeFind derivative of polynomial

1. A curve has equation $$y = 2 x ^ { 3 } - 2 x ^ { 2 } - 2 x + 8$$
  1. Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\)
  2. Hence find the range of values of \(x\) for which \(y\) is increasing. Write your answer in set notation.