Determine the Location of Each Local Extremum of the Function $f(x)=-x^{3}-1.5 x^{2}+36 x+3$

Multiple Choice

Determine the location of each local extremum of the function.
- $f(x) =-x^{3}-1.5 x^{2}+36 x+3$

A) Local maximum at 4 ; local minimum at -3
B) Local maximum at -4 ; local minimum at 3
C) Local maximum at 3 ; local minimum at -4
D) Local maximum at -3 ; local minimum at 4