$\text { Find the derivative of the function } f ( x ) = \operatorname { arcsec } ( 9 x ) \text {. }$

question 9

Multiple Choice

$\text { Find the derivative of the function } f ( x ) = \operatorname { arcsec } ( 9 x ) \text {. }$

• A)\(-\frac { 1 } { | 9 x | \sqrt { 81 x ^ { 2 } - 1 } }\)
• B)\( \frac { 1 } { | x | \sqrt { 81 x ^ { 2 } - 1 } }\)
• C)\(\frac { 1 } { | 9 x | \sqrt { 81 x ^ { 2 } - 1 } }\)
• D)\(\frac { 1 } { \sqrt { 81 x ^ { 2 } + 1 } }\)
• E)\(- \frac { 1 } { | x | \sqrt { 81 x ^ { 2 } - 1 } }\)

Evaluate the degree of interest rate risk associated with bonds of different maturities and coupon rates.

Understand and calculate the real rate of return on bonds, considering inflation.

Determine the number of bonds a company must sell to raise a specific amount of capital, taking into account the yield.

Recognize the concept of bond duration and its implications for interest rate risk.

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