Find the Derivative of the Function $$y = \frac { x ^ { 2 } + 8 x + 3 } { \sqrt { x } }$$

question 367

Multiple Choice

Find the derivative of the function.
- $$y = \frac { x ^ { 2 } + 8 x + 3 } { \sqrt { x } }$$

• A) \(y ^ { \prime } = \frac { 2 x + 8 } { x }\)
• B) \(y ^ { \prime } = \frac { 3 x ^ { 2 } + 8 x - 3 } { x }\)
• C) \(y ^ { \prime } = \frac { 2 x + 8 } { 2 x ^ { 3 } / 2 }\)
• D) \(y ^ { \prime } = \frac { 3 x ^ { 2 } + 8 x - 3 } { 2 x ^ { 3 / 2 } }\)

Recognize the role of immigration and demographic changes in the development of the West.

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Analyze the social and economic consequences of racial conventions and legislation.

Grasp the significance of technological and agricultural advances and their effects on society.

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Definitions:

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Tax credits that are expected to be received in the future, affecting current financial decisions and accounting.

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The amount of money that a company or individual owes to the government based on earnings, which is recorded as an expense in financial statements.

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The earnings of a company before income taxes have been deducted, representing the financial performance from normal operations.

LIFO Liquidation

A reduction in inventory that occurs when the cost of goods sold is calculated using the last in, first out (LIFO) method, potentially distorting profits and tax liabilities.