Find the Equation of the Line Tangent to the Graph $x = 1$

question 18

Essay

Find the equation of the line tangent to the graph of the given function at the point $x = 1$ .
​ $f ( x ) = \left( x ^ { 2 } + 2 \right) \left( x ^ { 3 } + x \right)$

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Definitions:

Performance Management Practices

The methods and strategies employed by organizations to improve and manage employee effectiveness, aligning employee performance with the organization’s goals.

Decreased Morale

A reduction in the enthusiasm, confidence, or loyalty among members of a group, often resulting from dissatisfaction or challenging conditions.

Employee Productivity

A measure of the efficiency of a worker or group of workers, typically evaluated based on the amount of output produced within a specific period.

Organizational Shortcomings

Specific areas or aspects within an organization where performance or effectiveness is lacking or inadequate.