Differentiate the Function $$f ( t ) = \frac { 2 + \ln t } { 5 - \ln t }$$

question 48

Multiple Choice

Differentiate the function. Select the correct answer.
$$f ( t ) = \frac { 2 + \ln t } { 5 - \ln t }$$

• A) \(f ^ { t } ( t ) = \frac { 7 } { t ( 1 - \ln t ) ^ { 2 } }\)
• B) \(f ^ { t } ( t ) = \frac { 7 } { t ( 5 - \ln t ) ^ { 2 } }\)
• C) \(f ^ { t } ( t ) = \frac { - 7 } { 5 t ( 2 - \ln t ) ^ { 3 } }\)
• D) \(f ^ { t } ( t ) = \frac { - 3 } { t ( 5 - \ln t ) ^ { 2 } }\)
• E) \(f ^ { t } ( t ) = \frac { 3 + 2 \ln t } { t ( 2 - \ln t ) ^ { 2 } }\)

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Definitions:

Marginal Products

The additional output produced as a result of adding one more unit of a specific input, while holding other inputs constant.

Isoquants

Curves that represent combinations of inputs that yield the same output, used in the analysis of production technology.

Output Level

The total product units produced within a given time frame in a production process or economic system.

Origin

The point or place where something begins, arises, or is derived.