Find the Relative Extrema for F(x) = X⁴ - 4x²

question 350

Essay

Find the relative extrema for f(x) = x⁴ - 4x² + 5.

---

Definitions:

Binge-Eating Disorder

A serious eating disorder characterized by recurrent episodes of eating large quantities of food (often very quickly and to the point of discomfort); a feeling of a loss of control during the binge; experiencing shame, distress, or guilt afterward; and not regularly using unhealthy compensatory measures (e.g., purging) to counter the binge eating.

Depression

Depression is a common and serious mood disorder that affects a person's feelings, thoughts, and behaviors, potentially leading to various emotional and physical problems.

Primary Sex Characteristics

The parts of the body that are directly involved in reproduction, including the vagina, uterus, ovaries, testicles, and penis.

Pubic Hair

The hair that grows in the genital area during and after puberty as part of human development.