If $f ( x ) = \frac { e ^ { x } } { x } , \text { find } f ^ { \prime \prime } ( x )$

question 248

Multiple Choice

If $f ( x ) = \frac { e ^ { x } } { x } , \text { find } f ^ { \prime \prime } ( x )$

• A) \(\frac { e ^ { x } ( x + 4 ) } { x ^ { 4 } }\)
• B) \(\frac { e ^ { x } \left( x ^ { 2 } - 1 \right) } { x ^ { 4 } }\)
• C)
• \(\frac { e ^ { x } \left( x ^ { 2 } + x \right) } { x ^ { 4 } }\)
• D) \(\frac { e ^ { x } \left( x ^ { 2 } + 3 \right) } { x ^ { 4 } }\)
• E) \(\frac { e ^ { x } ( x - 2 ) } { x ^ { 3 } }\)
• F) \(\frac { e ^ { x } \left( x ^ { 2 } + 5 x \right) } { x ^ { 3 } }\)
• G) \(\frac { e ^ { x } \left( x ^ { 2 } - 2 x + 2 \right) } { x ^ { 3 } }\)
• H) \(\frac { e ^ { x } \left( x ^ { 3 } - 4 x ^ { 2 } + 3 \right) } { x ^ { 3 } }\)

---

Definitions:

Total Revenue

The overall amount of money generated by a business from its sales of goods or services before any costs or expenses are deducted.

Quantity Demanded

The total amount of a good or service that consumers are willing and able to purchase at a given price within a specified time period.

Table: Price Elasticity

A tabulated representation of how the quantity demanded of a good responds to changes in its price, expressed as a ratio of percentage changes.

Midpoint Formula

A method used to find the midpoint between two points on a line segment, which is the average of the x-coordinates and y-coordinates of the points.