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) \(36 x ( 4 x + 9 ) ^ { 8 }\)

Understand the concepts of confidence intervals, including their construction and interpretation.

Calculate the sample size needed for estimating population means within a desired margin of error at a given level of confidence when the population standard deviation is known.

Apply the formula for determining sample size in various contexts, including salary estimation and consumer income studies.

Analyze the factors affecting the width of a confidence interval, such as confidence level, population standard deviation, and desired precision.

---

Definitions:

National Differences

Variations in cultural, economic, legal, and political systems across countries that can affect how businesses operate internationally.

Cost And Quality

Describes the relationship between the cost of producing a good or service and its quality, often indicating that higher quality can lead to higher production costs.

Global Convergence

The process by which ideas, goods, and services spread and integrate across different cultures and countries, leading to increased similarity.

Infrastructure Development

The construction and improvement of foundational services and facilities such as roads, bridges, water supply, and electricity networks that are necessary for economic development.