Let . Which of the following correctly classifies the local extrema of…

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

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