If $f ( x ) = 5 ^ { x }$

question 6

Essay

If $f ( x ) = 5 ^ { x }$ , show that $\frac { f ( x + h ) - f ( x ) } { h } = 5 ^ { x } \left( \frac { 5 ^ { h } - 1 } { h } \right)$ .

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Definitions:

Cultural Ideology

A shared set of beliefs and values within a society that influence norms and behaviors.

Economic Ideology

A set of beliefs about how a country's economy should be organized and function, influencing economic policies and practices.

Nationalist Ideology

A set of beliefs and values that emphasizes the interests and culture of one's nation, often placing it above other nations.

Political Systems

The principles, laws, and procedures relating to a particular form of government.