If $g ( x ) = \sqrt { 2 - 3 x }$

question 70

Multiple Choice

If $g ( x ) = \sqrt { 2 - 3 x }$ , use the definition of derivative to find $g ^ { \prime } ( x )$ .

• A)\(g ^ { t} ( x ) = - \frac { 1 } { 2 } ( 2 - 3 x ) ^ { - 1 / 2 }\)
• B) \(g ^ { t} ( x ) = - ( 2 - 3 x ) ^ { - 1 / 2 }\)
• C)\(g ^ { t } ( x ) = - \frac { 3 } { 2 } ( 2 - 3 x ) ^ { 1 / 2 }\)
• D)\(g ^ { t } ( x ) = - \frac { 3 } { 2 } ( 2 - 3 x ) ^ { - 1 / 2 }\)
• E) None of these

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Definitions:

Face Value

The nominal value printed on a financial instrument like a bond or stock certificate, differing from its market value.

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A bond where both the principal and regular coupon payments have been separated and are sold individually as zero-coupon bonds.

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Refers to the process where interest on a deposit or loan is calculated and added to the account balance twice a year.

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The date on which the principal amount of a loan, bond, or other financial instrument is due to be paid in full.