OCR MEI C2 2006 January — Question 6

Exam BoardOCR MEI
ModuleC2 (Core Mathematics 2)
Year2006
SessionJanuary
TopicDifferentiation Applications
TypeFind second derivative

6 A curve has gradient given by \(\frac { \mathrm { d } y } { \mathrm {~d} x } = x ^ { 2 } - 6 x + 9\). Find \(\frac { \mathrm { d } ^ { 2 } y } { \mathrm {~d} x ^ { 2 } }\).
Show that the curve has a stationary point of inflection when \(x = 3\).