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

question 6

Essay

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

---

Definitions:

Cognition Versus Affect

The distinction or interaction between cognitive processes (thought, knowledge) and affective responses (emotions, feelings).

Dunning-Kruger Effect

A cognitive bias where individuals with low ability at a task overestimate their ability.

Political Candidates

Individuals who are running for public office in government elections.

Self-enhancement

The desire to maintain, increase, or protect one's positive self-view.