Edexcel C1 2009 January — Question 6

Exam BoardEdexcel
ModuleC1 (Core Mathematics 1)
Year2009
SessionJanuary
TopicDifferentiation Applications
TypeFind derivative of polynomial

  1. Given that \(\frac { 2 x ^ { 2 } - x ^ { \frac { 3 } { 2 } } } { \sqrt { } x }\) can be written in the form \(2 x ^ { p } - x ^ { q }\),
    1. write down the value of \(p\) and the value of \(q\).
    Given that \(y = 5 x ^ { 4 } - 3 + \frac { 2 x ^ { 2 } - x ^ { \frac { 3 } { 2 } } } { \sqrt { } x }\),
  2. find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\), simplifying the coefficient of each term.