Question 10 - A-Level Maths

Exam Board	AQA
Module	AS Paper 1 (AS Paper 1)
Year	2018
Session	June
Marks	2
Topic	Differentiation Applications
Type	Justify maximum/minimum value

10 A curve has equation \(y = 2 x ^ { 2 } - 8 x \sqrt { x } + 8 x + 1\) for \(x \geq 0\) 10

Prove that the curve has a maximum point at ( 1,3 )
Fully justify your answer.
10
Find the coordinates of the other stationary point of the curve and state its nature. [2 marks]