Mathematics

Problem

Let

f(x)=x^{3}-6x^{2}+9x+4

. Which of the following correctly classifies the local extrema of

f

? a) Local minimum at both

x=1

and

x=3

. b) Local minimum at

x=1

and local maximum at

x=3

. c) Local maximum at

x=1

and local minimum at

x=3

. d) Local maxima at both

x=1

and

x=3