Edexcel C1 2015 June — Question 3

Exam BoardEdexcel
ModuleC1 (Core Mathematics 1)
Year2015
SessionJune
TopicDifferentiation Applications
TypeFind derivative of polynomial

Given that \(y = 4 x ^ { 3 } - \frac { 5 } { x ^ { 2 } } , x \neq 0\), find in their simplest form
  1. \(\frac { \mathrm { d } y } { \mathrm {~d} x }\)
  2. \(\int y \mathrm {~d} x\)