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 \(( - \infty , 5 ) \cup ( 5 , \infty )\)

Comprehend the distinctions between positive and negative eugenics and their goals.

Grasp the ethical considerations in gene therapy and genetic counseling, including the rights of children to an open future.

Analyze ethical arguments concerning the use of reproductive technologies, stem cells, and gene editing, including germ line changes.

Evaluate the role of legislative measures like GINA in protecting individuals from genetic discrimination.

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