An Equation for the Tangent Line to the Curve $y = \left( x ^ { 2 } + x - 1 \right) ^ { 3 }$

question 42

Multiple Choice

An equation for the tangent line to the curve $y = \left( x ^ { 2 } + x - 1 \right) ^ { 3 }$ at the point where x = 1 is:

• A)y = 2x + 1
• B)y = 9x - 1
• C)y = 9x
• D)y = 9x - 8

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Definitions:

Basal Ganglia

Nuclei at the base of the cerebrum involved in controlling motor functions.

Midbrain

A central part of the brainstem that plays a role in vision, hearing, motor control, sleep/wake, arousal, and temperature regulation.

Cerebral Cortex

The outer layer of the cerebrum in the brain, involved in high-level brain functions such as thought, emotion, reason, and language.

Brainstem

The portion of the brain that connects the cerebrum with the spinal cord, playing a key role in regulating vital functions such as breathing, heart rate, and blood pressure.