Find All the Critical Points Of $f ( x , y ) = x ^ { 3 } - 3 x + y ^ { 2 } - 4 y$

question 10

Multiple Choice

Find all the critical points of $f ( x , y ) = x ^ { 3 } - 3 x + y ^ { 2 } - 4 y$ and classify each as maximum, minimum, or saddle point. Select all possible choices.

• A)The point (1, 2)is a relative minimum.
• B)The point (-1, -2)is a saddle point.
• C)The point (-1, 2)is a saddle point.
• D)The point (1, 2)is a relative maximum.
• E)The point (1, -2)is a relative maximum.

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Definitions:

Standards Gap

A type of service gap; pertains to the difference between the firm’s perceptions of customers’ expectations and the service standards it sets.

Service Gaps Model

A framework for identifying and analyzing the discrepancies between customers' expectations of a service and their actual experiences, aiming to improve service quality.

Service Providers

Companies or individuals that offer services to others in exchange for payment.

Delivery Gap

The discrepancy between a company’s service quality specification and the actual service delivered to customers, often leading to customer dissatisfaction.