Determine All Critical Points for the Function $$f ( x ) = x ^ { 3 } - 12 x + 1$$

question 279

Multiple Choice

Determine all critical points for the function.
- $$f ( x ) = x ^ { 3 } - 12 x + 1$$

• A) x = -2, x = 0, and x = 2
• B) x = 2
• C) x = -2 and x = 2
• D) x = -2

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Definitions:

Fluctuating in Self-Worth

Refers to the variability or changes in an individual's self-esteem over time.

Self-Doubt

The condition of lacking confidence in oneself and one's abilities, often hindering decision-making and the attainment of one's potential.

Extraverted

Describes individuals who are outgoing, sociable, and draw energy from interacting with others.

Contingencies of Self-Worth

The belief that one's self-esteem is dependent on success or failure in specific areas of life or competence.