Edexcel C2 2010 January — Question 9

Exam BoardEdexcel
ModuleC2 (Core Mathematics 2)
Year2010
SessionJanuary
TopicDifferentiation Applications
TypeFind stationary points

9. The curve \(C\) has equation \(y = 12 \sqrt { } ( x ) - x ^ { \frac { 3 } { 2 } } - 10 , \quad x > 0\)
  1. Use calculus to find the coordinates of the turning point on \(C\).
  2. Find \(\frac { \mathrm { d } ^ { 2 } y } { \mathrm {~d} x ^ { 2 } }\).
  3. State the nature of the turning point.