We shall now examine this point for local
maxima and/or local minima of f Observe that f ′(x) ≥ 0, for all x ∈ R and in particular
f ′(x) > 0, for values close to 1 and to the left and to the right of 1 Therefore, by first
derivative test, the point x = 1 is neither a point of local maxima nor a point of local
minima Hence x = 1 is a point of inflexion