Determine the Location of Each Local Extremum of the Function $f(x)=x^{3}+3.5 x^{2}+2 x-3$

Multiple Choice

Determine the location of each local extremum of the function.
- $f(x) =x^{3}+3.5 x^{2}+2 x-3$

A) Local maximum at $\frac{1}{3}$ ; local minimum at 2
B) Local maximum at $-\frac{2}{3}$ ; local minimum at -1
C) Local maximum at -2 ; local minimum at $\frac{-1}{3}$
D) Local maximum at 1 ; local minimum at 0.67