Find the Point(s) on the Graph Of $f$ Where the Tangent Line Is Horizontal

question 43

Multiple Choice

Find the point(s) on the graph of $f$ where the tangent line is horizontal.
$f ( x ) = x ^ { 2 } e ^ { - x }$

• A) \(( 0,0 ) , \left( 2 , \frac { 2 ^ { 2 } } { e ^ { 2 } } \right)\)
• B) \(\left( 1 , \frac { 1 } { e } \right)\)
• C) \(( 0,0 )\)
• D) \(\left( 2 , \frac { 2 ^ { 2 } } { e ^ { 2 } } \right)\)

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