Find the Derivative at Each Critical Point and Determine the Local

Multiple Choice

Find the derivative at each critical point and determine the local extreme values.
- $y = x \left( 16 - x ^ { 2 } \right)$

A)
$\begin{array}{l|l|l|r}\text { Critical Pt. } & \text { derivative } & \text { Extremum } & \text { Value } \\\hline x=-2.31 & 0 & \text { local max } & 24.63 \\x=2.31 & 0 & \text { local min } & -49.27\end{array}$

B)
$\begin{array}{l|l|l|r}\text { Critical Pt. } & \text { derivative } & \text { Extremum } & \text { Value } \\\hline \mathrm{x}=2.31 & 0 & \text { local max } & -49.27 \\\mathrm{x}=-2.31 & 0 & \text { local min } & 24.63\end{array}$

C)
$\begin{array}{l|l|l|r}\text { Critical Pt. } & \text { derivative } & \text { Extremum } & \text { Value } \\\hline x=-2.31 & 0 & \text { local max } & -49.27 \\x=2.31 & 0 & \text { local min } & 24.63\end{array}$

D)
$\begin{array}{l|l|l|r}\text { Critical Pt. } & \text { derivative } & \text { Extremum } & \text { Value } \\\hline \mathrm{x}=2.31 & 0 & \text { local max } & 24.63 \\\mathrm{x}=-2.31 & 0 & \text { local min } & -24.63\end{array}$