Suppose (1, 1) Is a Critical Point of a Function $f _ { x } ( 1,1 ) = 8$

question 58

Multiple Choice

Suppose (1, 1) is a critical point of a function f with continuous second derivatives. In the case of $f _ { x } ( 1,1 ) = 8$ , $f _ { x y } ( 1,1 ) = 8$ , $f _ { y y } ( 1,1 ) = 10$ what can you say about f ?

• A) f has a local maximum at (1,1)
• B) f has a saddle point at (1,1)
• C) f has a local minimum at (1,1)

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Definitions:

Transactional Analysis

A psychoanalytic theory and method of therapy wherein social transactions are analyzed to understand behavior.

Emotional Pattern

The recurring or habitual way in which a person experiences and expresses emotions in various situations.

Emotional Style

Refers to consistent ways in which individuals experience, express, and manage emotions.