For the Function $f(x)=\frac{3}{x-4}$ :
(A) Find the Slope of the Function at

question 37

Short Answer

For the function $f(x)=\frac{3}{x-4}$ :
(a) Find the slope of the function at x=1 using the definition of the derivative.
(b) What is the equation of the tangent line to the curve f(x) at x=1 ?

---

Definitions:

U.S. War on Mexico

A military conflict between the United States and Mexico (1846-1848), leading to significant territorial acquisitions by the U.S.

Border Area

A region located near or along the boundary between two countries, states, or regions.

U.S. Troops

Members of the United States Armed Forces, including soldiers, marines, sailors, and airmen serving domestically and abroad.

Western Settlers

Individuals and families who moved westward across North America, especially during the 19th century, often seeking new opportunities and land.