Question 2 - A-Level Maths

Exam Board	Edexcel
Module	P2 (Pure Mathematics 2)
Year	2021
Session	January
Topic	Differentiation Applications
Type	Determine nature of stationary points

2. A curve has equation $$y = x ^ { 3 } - x ^ { 2 } - 16 x + 2$$

Using calculus, find the $x$ coordinates of the stationary points of the curve.
Justify, by further calculus, the nature of all of the stationary points of the curve.