Determine the Location of Each Local Extremum of the Function $f(x)=x^{3}-9 x^{2}+27 x+1$

Multiple Choice

Determine the location of each local extremum of the function.
- $f(x) =x^{3}-9 x^{2}+27 x+1$

A) Local minimum at 3
B) Local maximum at 3
C) Local maximum at 3 ; local minimum at -3
D) No local extrema