Find the Derivative of the Function $f ( t ) = ( 1 + 8 t ) ^ { \frac { 5 } { 9 } }$

question 21

Multiple Choice

Find the derivative of the function. $f ( t ) = ( 1 + 8 t ) ^ { \frac { 5 } { 9 } }$

• A) \(f ^ { \prime } ( t ) = \frac { 1 } { 9 } ( 1 + 8 ) ^ { \frac { - 4 } { 9 } }\)
• B) \(f ^ { \prime } ( t ) = \frac { 40 } { 5 } ( 1 + 8 t ) ^ { \frac { -4 } { 9 } }\)
• C) \(f ^ { \prime } ( t ) = \frac { 40 } { 9 } ( 1 + 8 t ) ^ { \frac { -4 } { 5 } }\)
• D) \(f ^ { \prime } ( t ) = \frac { 8 } { 9 } ( 1 + 8 ) ^ { \frac { - 4 } { 9 } }\)
• E) \(f ^ { \prime } ( t ) = \frac { 40 } { 9 } ( 1 + 8 t ) ^ { \frac { -4 } { 9 } }\)

Differentiate between various types of social movements (new social movements, reform movements, etc.) and their specific characteristics.

Assess the role of social movements in advancing human rights and civil liberties, including the historical context of such advancements.

Understand the characteristics of new social movements and their potential to become global.

Analyze the role of modern technology in the globalization of protest movements.

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