Find the Derivative of the Following Function $y = 1 - 6 e ^ { - x ^ { 6 } }$

question 44

Multiple Choice

Find the derivative of the following function. $y = 1 - 6 e ^ { - x ^ { 6 } }$

• A) \(y ^ { \prime } = 36 x ^ { 5 } e ^ { - x ^ { 6 } }\)
• B) \(y ^ { \prime } = - 36 x ^ { 5 } e ^ { - x ^ { 6 } }\)
• C) \(y ^ { \prime } = 6 e ^ { - x ^ { 6 } }\)
• D) \(y ^ { \prime } = 6 x ^ { 6 } e ^ { - x ^ { 6 } }\)
• E) \(y ^ { \prime } = - 6 x ^ { 6 } e ^ { - x ^ { 6 } }\)

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Definitions:

Macaulay Duration

A measure of the weighted average time until a fixed income asset's cash flows are received, used to assess interest rate risk.

Yield

The earnings generated and realized on an investment over a particular period, expressed as a percentage of the investment’s cost, its current market value, or its face value.

Modified Duration

A measure of the sensitivity of a bond's price to changes in interest rates, adjusting for the bond's yield to maturity.

Modified Duration

A measure that estimates the price sensitivity of a bond or bond portfolio to interest rate changes, adjusting for the changing yield to maturity.