Question 1 - A-Level Maths

Exam Board	Edexcel
Module	C12 (Core Mathematics 1 & 2)
Year	2017
Session	January
Topic	Differentiation Applications
Type	Increasing/decreasing intervals

Given \(y = \frac { x ^ { 3 } } { 3 } - 2 x ^ { 2 } + 3 x + 5\)

find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\), simplifying each term.
Hence find the set of values of \(x\) for which \(\frac { \mathrm { d } y } { \mathrm {~d} x } > 0\)