Using the Derivative of F(x) Given Below, Determine the Intervals $$f ^ { \prime } ( x ) = ( x + 5 ) ^ { 2 } e ^ { - x }$$

question 124

Multiple Choice

Using the derivative of f(x) given below, determine the intervals on which f(x) is increasing or decreasing.
- $$f ^ { \prime } ( x ) = ( x + 5 ) ^ { 2 } e ^ { - x }$$

• A) Decreasing on \(( - \infty , - 5 )\); increasing on \(( - 5 , \infty )\)
• B) Never decreasing; increasing on \(( - \infty , - 5 ) \cup ( - 5 , \infty )\)
• C) Never increasing; decreasing on \(( - \infty , - 5 ) \cup ( - 5 , \infty )\)
• D) Never decreasing; increasing on \(( - \infty , 5 ) \cup ( 5 , \infty )\)

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Definitions:

Selective Attention

Selective attention involves the focusing of conscious awareness on a particular stimulus, making it more pronounced while other environmental stimuli are minimized or ignored.

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A phenomenon where people can respond to visual stimuli without consciously perceiving them, typically after damage to the primary visual cortex.

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The personal, internal recognition and perception of one's own experiences, feelings, and thoughts.

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Activities of the mind involved in thinking, understanding, learning, and remembering.