Edexcel Mathematics October 2020 · Paper 1 · Question 9 · ExamRizz

ExamRizzEdexcel MathematicsMathematics

October 2020 · Paper 1 · Question 9 · 9 marks

9. y x OC Figure 2 Figure 2 shows a sketch of the curve C with equation y = f x) where f (x) = 4 (x2 − 2)e−2x x   (a) Show that f ʹ( x) = 8 (2 + x − x2)e−2x (3) (b) Hence find, in simplest form, the exact coordinates of the stationary points of C. (3) The function g and the function h are defined by g ( x) = 2f (x) x   h ( x) = 2f (x) − 3 x  0 (c) Find (i) the range of g (ii) the range of h (3) 23 24 25

Lesson: Introduction to Differentiation and First Principles (Polynomials)