Find the Derivative at Each Critical Point and Determine the Local

question 47

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

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