Differentiate the Function $$g ( x ) = \frac { \ln x } { x + 4 }$$

question 81

Multiple Choice

Differentiate the function.
$$g ( x ) = \frac { \ln x } { x + 4 }$$

• A) \(\frac { 1 } { x ( x + 4 ) }\)
• B) \(\frac { x ( 1 - \ln x ) + 4 } { x ( x + 4 ) ^ { 2 } }\)
• C) \(\frac { x ( 4 - \ln x ) + 1 } { x ( x + 4 ) ^ { 2 } }\)
• D) \(- \frac { 1 } { x ( x + 4 ) ^ { 2 } }\)

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Definitions:

Supernormal Growth Model

A model that predicts a period of exceptionally high growth rates for a company before settling down to a stable growth rate.

Preferred Stock

A type of stock that provides a specific dividend that is paid before any dividends are paid to common stockholders, often with no voting rights.

Zero Growth

refers to a situation where a company or economy is not experiencing any increase in its output, sales, or other financial indicators over a period.