Find All Possible Functions with the Given Derivative $y ^ { \prime } = 5 x ^ { 7 }$

question 213

Multiple Choice

Find all possible functions with the given derivative.
- $y ^ { \prime } = 5 x ^ { 7 }$

• A) \(\frac { 5 } { 7 } x ^ { 8 } + C\)
• B) \(\frac { 7 } { 5 } x ^ { 8 } + C\)
• C) \(\frac { 1 } { 4 } x ^ { 8 } + C\)
• D) \(\frac { 5 } { 8 } x ^ { 8 } + C\)

---

Definitions:

Modernization

Modernization refers to the process of adopting new technologies, ideas, and social systems, leading to the transformation of economic, social, and cultural life.

Religious Characteristics

Traits or features that mark various beliefs, practices, rituals, and organizational forms of religious institutions.

What Is to Be Done

A political pamphlet written by Lenin in 1902 discussing the role of the vanguard party, workers, and the revolution.

Lenin

A Russian revolutionary leader, political theorist, and founder of the Soviet Union, who played a key role in the Bolshevik Revolution of 1917.