Find the Most General Antiderivative of the Function $f ( x ) = \frac { 1 + 3 x } { x \sqrt { x } }$

question 184

Multiple Choice

Find the most general antiderivative of the function $f ( x ) = \frac { 1 + 3 x } { x \sqrt { x } }$ .

• A) \(x ^ { \frac { - 1 } { 2 } } + 6 x ^ { \frac { 1 } { 2 } } + C\)
• B) \(- 2 x ^ { \frac { - 1 } { 2 } } - 6 x ^ { \frac { 1 } { 2 } } + C\)
• C) \(- 2 x ^ { \frac { - 1 } { 2 } } + x ^ { \frac { 1 } { 2 } } + C\)
• D) \(- 2 x ^ { \frac { - 1 } { 2 } } + 3 x ^ { \frac { 1 } { 2 } } + C\)
• E) \(- 2 x ^ { \frac { - 1 } { 2 } } + 6 x ^ { \frac { 1 } { 2 } } + C\)
• F) \(3 \sqrt { x } + C\)
• G) \(2 x ^ { \frac { - 1 } { 2 } } + 6 x ^ { \frac { 1 } { 2 } } + C\)
• H) \(x + 6 \sqrt { x } + C\)

Appreciate the psychological aspects influencing decision maker’s bias towards a selected option.

Recognize the necessary frame of mind to achieve objectivity in decisions.

Understand the process and challenges of fortifying an option during decision-making.

Explain the benefit of utilizing multiple teams to tackle the same problem and how it impacts decision quality.

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Definitions:

Profit Margin

A financial metric indicating the percentage of revenue that remains as profit after accounting for costs and expenses.

Profit Margin

A financial metric that measures the amount of net income generated as a percentage of revenue.

Full Cost

The total cost associated with producing a product or providing a service, including both direct and indirect costs.

Contribution Margin

The amount by which the sale of products or services exceeds variable costs, contributing to the coverage of fixed costs and profit generation.