SPS SPS SM Pure 2022 June — Question 12 5 marks

Exam BoardSPS
ModuleSPS SM Pure (SPS SM Pure)
Year2022
SessionJune
Marks5
TopicDifferentiation Applications
TypeFind stationary points

12. A curve is defined for \(x \geq 0\) by the equation $$y = 6 x - 2 x ^ { \frac { 3 } { 2 } }$$
  1. Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\).
    [0pt] [2 marks]
  2. The curve has one stationary point. Find the coordinates of the stationary point and determine whether it is a maximum or minimum point. Fully justify your answer.
    [0pt] [3 marks]
    [0pt] [BLANK PAGE]