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


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

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