Solve the Problem $f ( x , y , z ) = \frac { x } { y } + \frac { y } { z } + \frac { z } { x }$

question 381

Multiple Choice

Solve the problem.
-Find the derivative of the function $f ( x , y , z ) = \frac { x } { y } + \frac { y } { z } + \frac { z } { x }$ at the point $( 7 , - 7,7 )$ in the direction in which the function decreases most rapidly.

• A) \(= \frac { 3 } { 7 } \sqrt { 3 }\)
• B) \(- \frac { 2 } { 7 } \sqrt { 3 }\)
• C) \(- \frac { 2 } { 7 } \sqrt { 2 }\)
• D) \(- \frac { 3 } { 7 } \sqrt { 2 }\)

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The movement of electrical charges or signals through a given medium, foundational for the functioning of the nervous system and the heart.

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A digestive disorder where stomach acid or bile irritates the food pipe lining, often referred to as GERD.

Gastric Acid

The digestive fluid produced by the stomach, primarily composed of hydrochloric acid, which helps in food digestion.