Find the Derivative of the Function $$f ( x ) = \frac { 2 \sqrt { x } } { x ^ { 2 } + 9 }$$

question 90

Multiple Choice

Find the derivative of the function.
Select the correct answer.
$$f ( x ) = \frac { 2 \sqrt { x } } { x ^ { 2 } + 9 }$$

• A)
• \(\frac { - 3 x ^ { 2 } + 9 } { \sqrt { x } \left( x ^ { 2 } + 9 \right) ^ { 2 } }\)
• B)
• \(\frac { 1 } { 2 x \sqrt { x } \left( x ^ { 2 } + 9 \right) }\)
• C)
• \(\frac { 1 } { 2 x \sqrt { x } }\)
• D)
• \(\frac { - 3 x ^ { 2 } + 9 } { \sqrt { x } \left( x ^ { 2 } + 9 \right) }\)

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The amount of profit or revenue that a specific department within a company generates, minus its direct costs.

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The total amount of income generated by the sale of goods or services related to a company's primary operations.

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The simultaneous production of two or more products from a single process or material, where the products are of significant value but not necessarily the same value.

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The total amount of money generated from selling goods or services before any expenses are subtracted.