Edexcel Mathematics October 2020 · Paper 2 · Question 7 · ExamRizz

ExamRizzEdexcel MathematicsMathematics

October 2020 · Paper 2 · Question 7 · 10 marks

7. y P O x Figure 1 Figure 1 shows a sketch of the curve C with equation y = 4 22xx x+ − 4 ln x x > 0 (a) Show that d dy x = 12 16 42xx x xx+− (4) 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 31 22 3 −  x (3) (c) Use the iteration formula xn+1 = 4 31 22 3 −  xn with x1 = 2 to find (i) the value of x2 to 5 decimal places, (ii) the x coordinate of P to 5 decimal places. (3) 17 18 19

Lesson: Introduction to Differentiation and First Principles (Polynomials)