Find an Equation of the Tangent Line to the Curve $y = \left( x ^ { 2 } + 1 \right) ^ { 3 }$

question 147

Essay

Find an equation of the tangent line to the curve $y = \left( x ^ { 2 } + 1 \right) ^ { 3 }$ at the point (1, 8).

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Definitions:

REM Sleep

refers to a unique phase of sleep characterized by rapid eye movements, where the brain is active and dreams occur, but the body remains essentially paralyzed.

Adult

An individual who has reached maturity or the legal age of majority, typically recognized by society and law as responsible and self-sufficient.

Infant

A very young child or baby, typically aged from birth to one year.

Behavior Modification

A therapeutic approach designed to change undesirable behaviors through reinforcement strategies.