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

Analyze the accuracy of personality judgments from close acquaintances versus self-judgments.

Identify factors that contribute to the improvement of personality judgment accuracy.

Understand the importance of accurate self-knowledge and its relation to mental health.

Comprehend the complexities involved in the judgment of personality and the factors that influence these judgments.

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Definitions:

Gothic Style

An architectural style that flourished in Europe during the High and Late Middle Ages, characterized by features such as pointed arches, ribbed vaults, and flying buttresses, emphasizing verticality and light.

Île-de-France

A region in north-central France that encompasses the city of Paris and its surrounding urban and rural areas.

Lombardy

A region in northern Italy known for its rich history, cultural heritage, and economic prosperity, also noted for its significant contributions to the arts and architecture during the Renaissance.

Milan

A global capital of fashion and design, Milan is also recognized for its banking and finance sectors, as well as its rich cultural heritage, including the famous Duomo di Milano.