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

question 126

Short Answer

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:

Personal Characteristics

Features or qualities that define an individual's identity, such as traits, behaviors, and attitudes.

Behavioural Approach

A method in psychology and management focusing on understanding and influencing human behavior through observation and empirical data.

Contingency Approach

A management theory stating that the best decisions are contingent on the situation and various variables involved.

External Cost

Costs incurred by third parties as a result of an economic transaction, which are not reflected in the transaction's market price, often necessitating government intervention.