Find the Derivative at Each Critical Point and Determine the Local

question 148

Multiple Choice

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

• A)
• \(\begin{array}{l|l|l|l}
• \text { Critical Pt. } & \text { derivative } & \text { Extremum } & \text { Value } \\
• \hline x=1 & \text { undefined } & \text { minimum } & 4
• \end{array}\)
• B)
• \(\begin{array}{l|l|l|l}
• \text { Critical Pt. } & \text { derivative } & \text { Extremum } & \text { Value } \\
• \hline x=2 & \text { undefined } & \text { minimum } & 5
• \end{array}\)
• C)
• \(\begin{array}{l|l|l|l}
• \text { Critical Pt. } & \text { derivative } & \text { Extremum } & \text { Value } \\
• \hline x=1 & 0 & \text { minimum } & 4
• \end{array}\)
• D)
• \(\begin{array}{l|l|l|l}
• \text { Critical Pt. } & \text { derivative } & \text { Extremum } & \text { Value } \\
• \hline x=0 & 0 & \text { minimum } & 5
• \end{array}\)

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Definitions:

Dividend Yield

The ratio of a company's annual dividends relative to its share price, indicating how much income investors are getting from their investment.

Yield-To-Maturity

Yield-to-maturity (YTM) is the total return anticipated on a bond if the bond is held until it matures, incorporating both interest payments and the capital gain or loss realized upon maturity.

Zero-Coupon Bond

A bond bought at a price lower than its face value, with no recurring interest payments, that matures at its face value.

Yield To Maturity

The total return anticipated on a bond if the bond is held until it matures, incorporating all interest payments and the repayment of principal, expressed as an annual rate.