Find the Derivative at Each Critical Point and Determine the Local

question 336

Multiple Choice

Find the derivative at each critical point and determine the local extreme values.
- $y = \left\{ \begin{array} { l l } - \frac { 1 } { 4 } x ^ { 2 } - \frac { 1 } { 2 } x + \frac { 15 } { 4 } , & x \leq 1 \\x ^ { 3 } - 6 x ^ { 2 } + 8 x , & x > 1\end{array} \right.$

• A)
• \(\begin{array}{l|l|l|l}
• \text { Critical Pt. } & \text { derivative } & \text { Extremum } & \text { Value } \\
• \hline x=-1 & 0 & \text { local min } & 4 \\
• x=3.15 & 0 & \text { local max } & -3.08
• \end{array}\)
• B)
• \(\begin{array}{l|l|l|l}
• \text { Critical Pt. } & \text { derivative } & \text { Extremum } & \text { Value } \\
• \hline x=-1 & \text { undefined } & \text { local min } & 4 \\
• x=3.15 & 0 & \text { local max } & -3.08
• \end{array}\)
• C)
• \(\begin{array}{l|l|l|l}
• \text { Critical Pt. } & \text { derivative } & \text { Extremum } & \text { Value } \\
• \hline x=-1 & 0 & \text { local max } & 4 \\
• x=3.15 & 0 & \text { local min } & -3.08
• \end{array}\)
• D)
• \(\begin{array}{l|l|l|l}
• \text { Critical Pt. } & \text { derivative } & \text { Extremum } & \text { Value } \\
• \hline x=1 & 0 & \text { local max } & 4 \\
• x=3.15 & \text { undefined } & \text { local max } & -3.08
• \end{array}\)

Understand key provisions and requirements under the Securities Exchange Act of 1934 and Sarbanes-Oxley Act of 2002.

Identify corporate governance practices and their significance.

Recognize the legal implications of insider trading and misappropriation of material, nonpublic information.

Comprehend the necessity of authentic financial reporting by corporate officers as mandated by federal law.

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