Simplify the Difference Quotient $$\frac { f ( x + h ) - f ( x ) } { h }$$

question 52

Multiple Choice

Simplify the difference quotient: $$\frac { f ( x + h ) - f ( x ) } { h }$$
- $$x ^ { 4 } - 3 x ^ { 2 } - 1$$

• A) \(4 x ^ { 3 } h + 6 x ^ { 2 } h ^ { 2 } + 4 x h ^ { 3 } + h ^ { 4 } - 6 x ^ { 2 } h + h ^ { 2 }\)
• B) \(x ^ { 4 } + 4 x ^ { 3 } + 6 x ^ { 2 } h + 4 x h ^ { 2 } + h ^ { 3 } - 6 x ^ { 2 } + h\)
• C) \(4 x ^ { 3 } + 6 x ^ { 2 } h + 4 x h ^ { 2 } + h ^ { 3 } - 6 x - 3 h\)
• D) \(4 x ^ { 3 } + 6 x ^ { 2 } h + 4 x h ^ { 2 } + h ^ { 3 } - 6 x ^ { 2 } + h - 1\)

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The process of changing the structure, operations, or strategies of an organization to improve efficiency, effectiveness, or adapt to new conditions.

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