Find All Critical Numbers for the Function $f(x)=x^{3}+12 x^{2}+48 x+4$ A) Local Maximum at -4 ; Local Minimum at 4

Multiple Choice

Find all critical numbers for the function. State whether it leads to a local maximum, a local minimum, or neither.
- $f(x) =x^{3}+12 x^{2}+48 x+4$

A) Local maximum at -4 ; local minimum at 4
B) Local minimum at -4
C) No local extrema
D) Local maximum at -4