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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Definitions:

Classical Conditioning

This learning strategy involves pairing two stimuli repeatedly; a response that initially comes from the second stimulus eventually comes from the first stimulus on its own.

Social Learning

The process of acquiring behaviors, skills, or attitudes through observing and imitating the actions of others.

Cognitive Learning

A style of learning that emphasizes understanding, organizing, and applying information in context, often involving problem-solving and critical thinking.

Latent Learning

A form of learning that happens without any obvious reinforcement and is not demonstrated until there is an incentive to do so.