Find an Equation of the Line Tangent to the Graph $y=\frac{e^{-9 x}}{x^{9}+1}$

question 65

Multiple Choice

Find an equation of the line tangent to the graph of $y=\frac{e^{-9 x}}{x^{9}+1}$ at the point where x = 0.

• A) \(y=-9 x+1\)
• B) \(y=9 x\)
• C) \(y=9 x+1\)
• D) \(y=-9 x\)

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Definitions:

Option to Abandon

A strategic decision-making right allowing a company to cease investment in a project if operational costs outweigh the benefits.

Forecasting Error

The difference between the actual value and the predicted value in forecasting, indicating the accuracy of the prediction.

Capital Expenditure

Resources allocated by a corporation to purchase or improve tangible assets like land, factories, or machinery.

Variable Costs

Costs that vary directly with the level of production or sales volume, such as raw materials and direct labor costs.