Verify That F(x) = X³ - X Satisfies the Hypothesis

question 310

Essay

Verify that f(x) = x³ - x satisfies the hypothesis of Rolle's Theorem on the interval [-1, 1] and find all values of C in (-1, 1) such that f '(C) = 0

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Definitions:

Corporal Punishment

The use of physical force, with the intention of causing pain but not injury, as a method of discipline.

Threatening

Describing something that poses a danger or a warning of possible harm.

Instill Fear

The process of causing someone to feel afraid or apprehensive, often used as a method of control or influence.

Abusive

Involves behavior that is aggressively harmful or injurious towards others, often resulting in physical, emotional, or psychological damage.