OCR MEI AS Paper 2 2020 November — Question 9

Exam BoardOCR MEI
ModuleAS Paper 2 (AS Paper 2)
Year2020
SessionNovember
TopicDifferentiation Applications
TypeDetermine nature of stationary points

9 The equation of a curve is \(y = 24 \sqrt { x } - 8 x ^ { \frac { 3 } { 2 } } + 16\).
  1. Find \(\frac { \mathrm { dy } } { \mathrm { dx } }\).
  2. Find the coordinates of the turning point.
  3. Determine the nature of the turning point.