Using the Derivative of F(x) Given Below, Determine the Intervals $$f ^ { \prime } ( x ) = ( x - 6 ) e ^ { - x }$$

question 25

Multiple Choice

Using the derivative of f(x) given below, determine the intervals on which f(x) is increasing or decreasing.
- $$f ^ { \prime } ( x ) = ( x - 6 ) e ^ { - x }$$

• A) Decreasing on \(( - \infty , - 6 )\); increasing on \(( - 6 , \infty )\)
• B) Increasing on \(( - \infty , - 6 )\); decreasing on \(( - 6 , \infty )\)
• C) Increasing on \(( - \infty , 6 )\); decreasing on \(( 6 , \infty )\)
• D) Decreasing on \(( - \infty , 6 )\); increasing on \(( 6 , \infty )\)

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