Find the Values of X Where the Tangent Line Is $f ( x ) = \frac { 4 x ^ { 2 } } { x + 2 }$

question 52

Multiple Choice

Find the values of x where the tangent line is horizontal for the graph of $f ( x ) = \frac { 4 x ^ { 2 } } { x + 2 }$ .

• A) x = 0, x = -4
• B) x = 0, x = -2
• C) x = -2
• D) x = -2, x = 0, x = -4

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Definitions:

Peripheral Nervous System

The part of the nervous system outside the brain and spinal cord, responsible for connecting the central nervous system to limbs and organs.

Somatic Nervous System

A part of the peripheral nervous system responsible for voluntary control of body movements through control of skeletal muscles.

Efferent Nervous System

Part of the nervous system responsible for carrying signals away from the brain and spinal cord to muscles, thereby instructing them to act or move.

Autonomic Nervous System

The part of the nervous system that controls involuntary actions of the body, such as heart rate, digestion, and respiratory rate.