Find the Slope of the Graph of the Function at the Given

question 164

Multiple Choice

Find the slope of the graph of the function at the given value. $f ( x ) = 4 ( 5 x + 6 ) ^ { 2 }$ at $x = 3$

• A) \(f ^ { t } ( 3 ) = 840\)
• B) \(f ^ { t } ( 3 ) = 360\)
• C) \(f ^ { t } ( 3 ) = 42\)
• D) \(f ^ { t } ( 3 ) = 168\)
• E) \(f ^ { t } ( 3 ) = 210\)

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Definitions:

Diseconomies Of Scale

Refers to the phenomenon where, beyond a certain point, increasing production results in a rise in the average cost of each unit produced due to factors like management inefficiencies and logistic issues.

Unit Costs

The cost incurred to produce, store, and sell one unit of a product, calculated by dividing the total costs by the number of units produced.

Production Increases

The rise in the amount of goods or services produced by a company, often due to greater demand or improved efficiency.

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