Find the Relative Extrema, If Any, Of $f ( t ) = e ^ { t } - 7 t - 3$

question 17

Multiple Choice

Find the relative extrema, if any, of $f ( t ) = e ^ { t } - 7 t - 3$ . Use the Second Derivative Test, if possible.

• A) relative minimum: none, relative maximum: \(f ( \ln 3 ) = - 7 \ln 7\)
• B) relative minimum: \(f ( \ln 7 ) = 4 - 7 \ln 7\), relative maximum: none
• C) relative minimum: \(f ( \ln 3 ) = - 7 \ln 7\), relative maximum: none
• D) relative minimum: none, relative maximum: \(f ( \ln 7 ) = 4 - 7 \ln 7\)

---

Definitions:

Own Property

The legal right or interest that an individual has in a piece of land or a building.

Free Blacks

African Americans who were not enslaved before the abolition of slavery, living in both the North and South of the United States.

Regions

Designated areas or divisions within a country or the world, often characterized by distinct physical, social, or cultural features.

Free Frank

Free Frank McWorter was an African-American man who bought his freedom from slavery, and later established the town of New Philadelphia, Illinois.