Find the Derivative of Y with Respect to X $$y = \tan ^ { - 1 } \sqrt { 5 x }$$

question 106

Multiple Choice

Find the derivative of y with respect to x.
- $$y = \tan ^ { - 1 } \sqrt { 5 x }$$

• A) \(\frac { 1 } { 1 + 5 x }\)
• B) \(\frac { 1 } { 10 \sqrt { 5 x ( 1 + 5 x ) } }\)
• C) \(\frac { 1 } { \sqrt { 1 - 5 x } }\)
• D) \(\frac { 5 } { 2 ( 1 + 5 x ) \sqrt { 5 x } }\)

---

Definitions:

Indentured Servants

Individuals who signed a contract to work for a specific period of time in exchange for passage to the New World, food, accommodation, and a form of 'freedom dues' at the end of their term.

Women In Virginia

A term referring to the life, roles, and historical contributions of women in the state of Virginia, highlighting their social, political, and economic experiences.

Mid-Twenties

A term often used to describe the period of life between the ages of 24 and 26, or the 1925–1926 period in the 20th century, known for its distinctive cultural and societal changes.

Tobacco Farming

The cultivation of tobacco plants for the production of cigarettes, cigars, and other tobacco products, historically a significant agricultural activity in the southern United States.