Let $f ( x ) = x \left| x ^ { 3 } \right|$

question 11

Essay

Let $f ( x ) = x \left| x ^ { 3 } \right|$ .
a. Sketch the graph of $f$ .
b. For what values of $x$ is $f$ differentiable?
c. Find a formula for $f ^ { \prime } ( x )$ .

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Definitions:

Government

The system or group of people governing an organized community, often a state, including institutions and officials that make and enforce laws.

Disparities

Inequalities or differences, often in the context of social, economic, or health outcomes among different populations.

Wealth

An abundance of valuable material possessions or resources, including money, property, and other assets.

Institutionalized

The process of establishing something as a norm or standard within a structured system or organization, often associated with formal rules and conventions.