Let $f ( x , y , z ) = \frac { x } { y } + \frac { y } { z } + \frac { z } { x }$ . Find the rate of change of $f$ at $P ( 1 , - 1,1 )$ in the direction from $P$ toward $( 2,1,0 )$ .

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The Answer of Let $f ( x , y , z ) = \frac { x } { y } + \frac { y } { z } + \frac { z } { x }$ . Find the rate of change of $f$ at $P ( 1 , - 1,1 )$ in the direction from $P$ toward $( 2,1,0 )$ .

Let 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​

Let $f ( x , y , z ) = \frac { x } { y } + \frac { y } { z } + \frac { z } { x }$