Using the Derivative of F(x) Given Below, Determine the Critical $$f ^ { \prime } ( x ) = ( x - 6 ) ^ { 2 } ( x + 2 )$$

question 227

Multiple Choice

Using the derivative of f(x) given below, determine the critical points of f(x) .
- $$f ^ { \prime } ( x ) = ( x - 6 ) ^ { 2 } ( x + 2 )$$

• A) -6, -2, 6
• B) -6, 2
• C) -2, 6
• D) -6, 0, 2

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Definitions:

Sympathetic

Pertaining to the part of the autonomic nervous system that typically prepares the body for intense physical activity and is often referred to as the fight-or-flight response.

Parasympathetic

Pertaining to the division of the autonomic nervous system that conserves energy as it slows the heart rate, increases intestinal and gland activity, and relaxes sphincter muscles.

Sympathetic

Part of the autonomic nervous system that increases the body's readiness for action in stress situations.

Parasympathetic

Part of the autonomic nervous system that conserves energy by slowing the heart rate, increasing intestinal and gland activity.