Solve the Problem $y = f ( x )$ Is $y ^ { \prime } = ( x - 3 ) ^ { 2 } ( x + 5 )$

question 83

Multiple Choice

Solve the problem.
-Suppose the derivative of the function $y = f ( x )$ is $y ^ { \prime } = ( x - 3 ) ^ { 2 } ( x + 5 )$ . At what points, if any, does the graph of $f$ have a local minimum or local maximum?

• A) local maximum at x = -5
• B) no local minimum or local maximum
• C) local minimum at x = -5
• D) local minimum at x = 3

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Definitions:

Conditioning

A process of behavior modification by which a subject comes to respond in a desired manner to a previously neutral stimulus that has been repeatedly presented along with an unconditioned stimulus that elicits the desired response.

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A neurotransmitter involved in many functions including mood regulation, digestion, and sleep.