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

question 377

Multiple Choice

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

• A) Decreasing on \(( - \infty , - 2 )\); increasing on \(( - 2 , \infty )\)
• B) Never decreasing; increasing on \(( - \infty , - 2 ) \cup ( - 2 , \infty )\)
• C) Never decreasing; increasing on \(( - \infty , 2 ) \cup ( 2 , \infty )\)
• D) Never increasing; decreasing on \(( - \infty , - 2 ) \cup ( - 2 , \infty )\)

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