Differentiate the Function $$y = x \left( 5 ^ { 2 x } \right)$$

question 27

Multiple Choice

Differentiate the function. $$y = x \left( 5 ^ { 2 x } \right)$$

• A) \(( 2 \ln 5 ) \left( 5 ^ { 2 x } \right) x\)
• B) \([ 1 + ( 2 \ln 5 ) x ] 5 ^ { 2 x }\)
• C) \([ 1 + ( 5 \ln 2 ) x ] 5 ^ { 2 x }\)
• D) \(( 2 \ln 5 ) 5 ^ { 2 x }\)

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Definitions:

Total Excess Return

The overall return of an investment above the risk-free rate over a specified time period.

Bogey Portfolio

A benchmark used to evaluate a fund's performance by comparing it with a standard point of reference.

Asset Classes

Categories of assets with similar characteristics, such as equities, fixed income, real estate, and commodities, used in investment diversification.

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The strategy of distributing investments among various types of assets (e.g., stocks, bonds, real estate) to optimize risk and reward based on an individual's or entity's goals and risk tolerance.