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)
• \(\frac { - 3 x ^ { 2 } + 9 } { \sqrt { x } \left( x ^ { 2 } + 9 \right) }\)

Recognize the significance of major research findings on sexual behavior and contraception usage.

Identify the prevalence of contraception use and preferences among women.

Understand the various methods of contraception and their appropriate usage.

Comprehend the considerations and contraindications for different contraceptive methods.

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Definitions:

Unit Product Cost

The total cost to produce one unit of a product, including direct materials, direct labor, and manufacturing overhead.

Variable Costing

A costing method that includes only variable costs—direct materials, direct labor, and variable manufacturing overhead—in the cost of a unit of product.

Unit Product Cost

The total cost (both fixed and variable) associated with producing a single unit of product.

Absorption Costing

A costing method that includes all manufacturing costs - direct materials, direct labor, and both variable and fixed overhead - in the cost of a product.