Find the Derivative of the Function $f ( x ) = ( 4 x + 9 ) ^ { 9 }$

question 20

Multiple Choice

Find the derivative of the function. $f ( x ) = ( 4 x + 9 ) ^ { 9 }$

• A) \(36 ( 4 x + 9 ) ^ { 8 }\)
• B) \(9 ( 4 x + 9 ) ^ { 8 }\)
• C) \(9 x ( 4 x + 9 ) ^ { 8 }\)
• D) \(36 x ( 4 x + 9 ) ^ { 8 }\)

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Definitions:

Perfectly Competitive

A market structure where there are many buyers and sellers, goods are homogeneous, and there is free entry and exit in the market.

Marginal Cost

The boost in overall cost that comes from generating one extra unit of a product or service.

Quantity Effect

The change in quantity demanded or supplied of a product as a result of changes in its price.

Marginal Cost

The expense increase for generating an additional unit of a product or service.