Edexcel C1 2009 June — Question 3

Exam BoardEdexcel
ModuleC1 (Core Mathematics 1)
Year2009
SessionJune
TopicDifferentiation Applications
TypeFind derivative of polynomial

3. Given that \(y = 2 x ^ { 3 } + \frac { 3 } { x ^ { 2 } } , x \neq 0\), find
  1. \(\frac { \mathrm { d } y } { \mathrm {~d} x }\)
  2. \(\int y \mathrm {~d} x\), simplifying each term.