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.
- $f^{\prime}(x) =\left(x^{2}-16\right) (x+3)$

A) Local maximum at -3 ; local minima at -4 and 4
B) Local maximum at $-3+\sqrt{-7}$ ; local minimum at $-3-\sqrt{-7}$
C) Local maximum at $-3-\sqrt{-7}$ ; local minimum at $-3+\sqrt{-7}$
D) Local maxima at -4 and 4 ; local minimum at -3