Edexcel C12 2014 January — Question 2

Exam BoardEdexcel
ModuleC12 (Core Mathematics 1 & 2)
Year2014
SessionJanuary
TopicStandard Integrals and Reverse Chain Rule

2. $$\mathrm { f } ( x ) = \frac { 8 } { x ^ { 2 } } - 4 \sqrt { x } + 3 x - 1 , \quad x > 0$$ Giving your answers in their simplest form, find
  1. \(\mathrm { f } ^ { \prime } ( x )\)
  2. \(\int \mathrm { f } ( x ) \mathrm { d } x\)