Find the Derivative of Y with Respect to X $$y = \cos ^ { - 1 } \left( 5 x ^ { 2 } + 4 \right)$$

question 227

Multiple Choice

Find the derivative of y with respect to x.
- $$y = \cos ^ { - 1 } \left( 5 x ^ { 2 } + 4 \right)$$

• A) \(\frac { 10 x } { 1 + \left( 5 x ^ { 2 } + 4 \right) ^ { 2 } }\)
• B) \(\frac { 10 x } { \sqrt { 1 - \left( 5 x ^ { 2 } + 4 \right) ^ { 2 } } }\)
• C) \(\frac { - 10 x } { \sqrt { 1 - \left( 5 x ^ { 2 } + 4 \right) ^ { 2 } } }\)
• D) \(\frac { 5 } { \sqrt { 1 + \left( 5 x ^ { 2 } + 4 \right) ^ { 2 } } }\)

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Definitions:

Yield To Maturity

The total return anticipated on a bond if the bond is held until it matures, including interest payments and the difference between the bond’s purchase price and its face value.

Maturity Value

The amount payable to the holder of a financial instrument at its maturity date, including the principal and any accrued interest.

Present Yield

The current return on an investment, often calculated as the annual dividend or interest divided by the current market price of the asset.

Interest Rates

The cost of borrowing money or the return on invested capital, typically expressed as a percentage of the principal amount on an annual basis.