Differentiate $\frac { 2 } { 3 x ^ { 4 } }$

question 59

Multiple Choice

Differentiate.
-y = - $\frac { 2 } { 3 x ^ { 4 } }$

• A) \(\frac { d y } { d x }\) = \(\frac { 8 } { ( 3 x ) ^ { 5 } }\)
• B) \(\frac { d x } { d y }\) = - \(\frac { 8 } { 3 }\) \(x ^ { 5 }\)
• C) \(\frac { d x } { d y }\) = \(\frac { 24 } { x ^ { 5 } }\)
• D) \(\frac { d y } { d x }\) = \(\frac { 8 } { 3 x ^ { 5 } }\)

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Definitions:

The State

An organized political community living under a single system of government, recognized as sovereign or governing over a defined territory and population.

Authoritarian State

A government system characterized by strong central power and limited political freedoms, where individual freedoms are often subordinate to the state’s authority.

Civil Society

The private sphere of social life.

Authoritarian State

An authoritarian state is a government system characterized by strong central power and limited political freedoms, where opposition is often suppressed.