OCR C1 2011 January — Question 6

Exam BoardOCR
ModuleC1 (Core Mathematics 1)
Year2011
SessionJanuary
TopicDifferentiation Applications
TypeDifferentiate rational functions

6 Given that \(y = \frac { 5 } { x ^ { 2 } } - \frac { 1 } { 4 x } + x\), find
  1. \(\frac { \mathrm { d } y } { \mathrm {~d} x }\),
  2. \(\frac { \mathrm { d } ^ { 2 } y } { \mathrm {~d} x ^ { 2 } }\).