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) $- \frac { 3 } { 7 } \sqrt { 2 }$

Question

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The Answer of 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) $- \frac { 3 } { 7 } \sqrt { 2 }$

Solve the Problem f(x,y,z)=xy+yz+zxf ( x , y , z ) = \frac { x } { y } + \frac { y } { z } + \frac { z } { x }f(x,y,z)=yx​+zy​+xz​

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