OCR MEI C2 2009 June — Question 6

Exam BoardOCR MEI
ModuleC2 (Core Mathematics 2)
Year2009
SessionJune
TopicDifferentiation Applications
TypeFind stationary points

6 Use calculus to find the \(x\)-coordinates of the turning points of the curve \(y = x ^ { 3 } - 6 x ^ { 2 } - 15 x\). Hence find the set of values of \(x\) for which \(x ^ { 3 } - 6 x ^ { 2 } - 15 x\) is an increasing function.