Let $f ( x , y , z ) = x ^ { 2 } + y ^ { 2 } + x z$

question 45

Short Answer

Let $f ( x , y , z ) = x ^ { 2 } + y ^ { 2 } + x z$ . Find the directional derivative of $f$ at $( 1,2,0 )$ in the direction of the vector $\mathbf { v } = \{ 1 , - 1,1 \}$ .

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Definitions:

Beck

Aaron Beck, a prominent psychologist known for his work in cognitive therapy, particularly in relation to depression, and the development of the cognitive-behavioral therapy approach.

Ruminative Responses

The tendency to compulsively focus on the causes and consequences of one's distress rather than taking action to relieve it.

Mentally Dwelling

The act of continuously thinking about or fixating on a certain thought or problem without reaching a resolution.

Mood

A temporary state of mind or feeling.