Edexcel C12 Specimen — Question 4

Exam BoardEdexcel
ModuleC12 (Core Mathematics 1 & 2)
SessionSpecimen
TopicDifferentiation Applications
TypeFind derivative of polynomial

4. Given that \(y = 2 x ^ { 5 } + 7 + \frac { 1 } { x ^ { 3 } } , x \neq 0\), find, in their simplest form,
  1. \(\frac { \mathrm { d } y } { \mathrm {~d} x }\),
  2. \(\int y \mathrm {~d} x\).