A Level

MATHEMATICS · Multi-part · A Level · Mathematics · Differentiation · Differentiation

Problem

Let

f(x)=x^{3}-3x+2

. (i) Determine the intervals of monotonicity of

f

on the real line. (ii) Without using calculators, arrange the numbers

f(0),\,f(1)

and

f(2)

in ascending order. Give clear reasons for the ordering obtained.