What Is the Direction of Maximal Decrease For $f ( x , y , z ) = x y + y z + x z$

question 246

Essay

What is the direction of maximal decrease for $f ( x , y , z ) = x y + y z + x z$ at $( 1,1,1 )$ ?

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Definitions:

Discipline

A method of training or guiding individuals to follow rules or codes of behavior, using encouragement or correction to achieve desired conduct.

Limits

Boundaries or constraints that restrict or define what is possible or allowable.

Logical Consequence

A direct outcome of actions that is logically tied to the behavior, often used in educational settings to teach responsibility.

Clean

Free from dirt, marks, or stains; also used metaphorically to describe actions or records without wrongdoing.