The Rule of the Derivative of a Function $f$ Is Given Find the Location of All Local Extrema

Multiple Choice

The rule of the derivative of a function $f$ is given. Find the location of all local extrema.
- $\mathrm{f}^{\prime}(\mathrm{x}) =(\mathrm{x}+5) (\mathrm{x}+2) (\mathrm{x}-4)$

A) Local maximum at -2 ; local minima at -5 and 4
B) Local maximum at 2 ; local minima at 5 and -4
C) Local maxima at 5 and -4 ; local minimum at 2
D) Local maxima at -5 and 4 ; local minimum at -2