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:

Demand Curve Shape

The graphical representation of the relationship between the price of a good and the quantity demanded, typically downward sloping.

Profit or Loss

The financial result of business operations, where profit indicates earnings exceed expenses and loss indicates expenses exceed earnings.

Profit-Maximizing Price

The price at which a company can sell its product to maximize its profit, determined by various market dynamics.

Profit-Maximizes

The strategy or aim of a firm to adjust its production and operational parameters to achieve the highest possible profits.