Find the Critical Numbers Of $f ( x ) = x ^ { 4 } ( x - 3 ) ^ { 3 }$

question 136

Multiple Choice

Find the critical numbers of $f ( x ) = x ^ { 4 } ( x - 3 ) ^ { 3 }$ .

• A) \(0,3 , \frac { 12 } { 7 }\)
• B) \(0,4 , \frac { 7 } { 12 }\)
• C) \(0,4 , \frac { 12 } { 7 }\)
• D) \(0,3 , \frac { 12 } { 11 }\)
• E) \(0,3 , \frac { 7 } { 12 }\)

---

Definitions:

Controlled Studies

Experiments or observations designed with control groups and experimental groups to eliminate the effects of variables other than the independent variable.

Classical Psychoanalysis

A technique in psychology developed by Freud, focusing on uncovering unconscious motivations and early childhood influences on behavior.

Relational Models

Theories or frameworks that describe the types and dynamics of relationships between individuals or entities.

Drive Reduction

A motivational theory suggesting that behavior is driven by the need to reduce internal tension caused by unmet biological needs, such as hunger or thirst.