Edexcel A-Level - October 2020 - Advanced Pure Mathematics 2 - Question 7 - Exam Paper Walkthrough

Full walkthrough answer to Question 7 on the Edexcel A-Level Mathematics, Pure Mathematics 2, Paper 2, October 2020.
Figure 1 shows a sketch of the curve C with equation
y = (4x^2 + x) / 2 root x - 4ln x
(a) Show that dy / dx = (12x^2 + x - 16 root x) / 4x root x
The point P, shown in Figure 1, is the minimum turning point on C.
(b) Show that the x coordinate of P is a solution of
x = (4/3 - root x /12)^2/3
(c) Use the iteration formula x1 = 2
to find (i) the value of x2 to 5 decimal places,
(ii) the x coordinate of P to 5 decimal places.
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[SanjanaRanasingha]

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