Find All Critical Numbers for the Function $f(x)=-x^{3}-3 x^{2}+9 x+2$ A) Local Maximum at 1 ; Local Minimum at -3

Multiple Choice

Find all critical numbers for the function. State whether it leads to a local maximum, a local minimum, or neither.
- $f(x) =-x^{3}-3 x^{2}+9 x+2$

A) Local maximum at 1 ; local minimum at -3
B) Local maximum at -3 ; local minimum at 1
C) Local maximum at -1 ; local minimum at 3
D) Local maximum at 3 ; local minimum at -1