$$\text { Find and simplify the difference quotient } \frac { f ( a + h ) - f ( a ) } { h } , h \neq 0 \text { for the given function. }$$

question 263

Multiple Choice

$$\text { Find and simplify the difference quotient } \frac { f ( a + h ) - f ( a ) } { h } , h \neq 0 \text { for the given function. }$$
- $f ( x ) = \frac { 8 } { x ^ { 2 } }$

• A) \(\frac { - 8 ( 2 a + h ) } { a ^ { 2 } \left( a ^ { 2 } + h \right) }\)
• B) \(\frac { 8 ( 2 a + h ) } { a ^ { 2 } ( a + h ) ^ { 2 } }\)
• C) \(\frac { 8 ( 2 a + h ) } { a ^ { 2 } \left( a ^ { 2 } + h \right) }\)
• D) \(\frac { - 8 ( 2 a + h ) } { a ^ { 2 } ( a + h ) ^ { 2 } }\)

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Definitions:

Constant Interruptions

Recurring disruptions that break the continuity of work, leading to decreased productivity and increased stress.

Inventory Control

Management of inventory levels, orders, sales, and deliveries to ensure availability of goods without excessive supply.

Financial Problems

Difficulties in managing money, which may include maintaining cash flow, handling debt, or managing investments.

Management Function

The activities and responsibilities of managing an organization, including planning, organizing, leading, and controlling.