Edexcel C1 2008 January — Question 5

Exam BoardEdexcel
ModuleC1 (Core Mathematics 1)
Year2008
SessionJanuary
TopicDifferentiation Applications
TypeFind derivative of polynomial

5. (a) Write \(\frac { 2 \sqrt { } x + 3 } { x }\) in the form \(2 x ^ { p } + 3 x ^ { q }\) where \(p\) and \(q\) are constants. Given that \(y = 5 x - 7 + \frac { 2 \sqrt { } x + 3 } { x } , \quad x > 0\),
(b) find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\), simplifying the coefficient of each term.