Write the Equation of the Line Tangent to the Graph $y = 2 x e ^ { - x } + 6$

question 23

Multiple Choice

Write the equation of the line tangent to the graph of $y = 2 x e ^ { - x } + 6$ at $x = 1$

• A) \(y = 2 e ^ { - 1 } x + 6\)
• B) \(y = 2 e ^ { - 1 } x - 6\)
• C) \(y = 2 e ^ { - 1 } x\)
• D) \(y = 2 e ^ { - 1 } + 6\)
• E) \(y = 2 e ^ { - 1 } - 6\)

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Definitions:

Good X

"Good X" is a term used in economics to represent a hypothetical product or commodity being analyzed or discussed in theory or case studies.

Good Y

A hypothetical product used in economic models to discuss theories and principles.

Budget Constraint

A representation of all the combinations of goods and services that a consumer can afford to buy at given prices with their income level.

Income

Regular financial earnings from work or investment activities.