Let for all real

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

Let

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

for all real

x

. Which of the following correctly classifies the relative extrema of

g

? (a) Local minimum at

(0,2)

and local maximum at

(2,-2)

(b) Local maximum at

(0,2)

and local minimum at

(2,-2)

(2,-2)

; no other relative extrema (d)

g

has no relative extrema