Edexcel C1 2007 June — Question 3

Exam BoardEdexcel
ModuleC1 (Core Mathematics 1)
Year2007
SessionJune
TopicDifferentiation Applications
TypeFind derivative of polynomial

Given that \(y = 3 x ^ { 2 } + 4 \sqrt { } x , x > 0\), find
  1. \(\frac { \mathrm { d } y } { \mathrm {~d} x }\),
  2. \(\frac { \mathrm { d } ^ { 2 } y } { \mathrm {~d} x ^ { 2 } }\),
  3. \(\int y \mathrm {~d} x\).