Calculate the values of $\frac { \partial f } { \partial x }$ , $\frac { \partial f } { \partial y }$ , and $\frac { \partial f } { \partial z }$ at $( 4,1,2 )$ . $f ( x , y , z ) = \frac { 320 z } { 7 + y ^ { 0.6 } }$
A) $\left. \frac { \partial f } { \partial x } \right| _ { ( 4,1,2 ) } = 6$ , $\left. \frac { \partial f } { \partial y } \right| _ { ( 4,1,2 ) } = 0$ , $\left. \frac { \partial f } { \partial y } \right| _ { ( 4,1,2 ) } = 0$
B) $\left. \frac { \partial f } { \partial x } \right| _ { ( 4,1,2 ) } = 0$ , $\left. \frac { \partial f } { \partial y } \right| _ { ( 4,1,2 ) } = - 6$ , $\left. \frac { \partial f } { \partial y } \right| _ { ( 4,1,2 ) } = 40$
C) $\left. \frac { \partial f } { \partial x } \right| _ { ( 4,1,2 ) } = - 40$ , $\left. \frac { \partial f } { \partial y } \right| _ { ( 4,1,2 ) } = 6$ , $\left. \frac { \partial f } { \partial y } \right| _ { ( 4,1,2 ) } = 0$
D) $\left. \frac { \partial f } { \partial x } \right| _ { ( 4,1,2 ) } = 0$ , $\left. \frac { \partial f } { \partial y } \right| _ { ( 4,1,2 ) } = 40$ , $\left. \frac { \partial f } { \partial y } \right| _ { ( 4,1,2 ) } = 6$
E) $\left. \frac { \partial f } { \partial x } \right| _ { ( 4,1,2 ) } = 0$ , $\left. \frac { \partial f } { \partial y } \right| _ { ( 4,1,2 ) } = - 6$ , $\left. \frac { \partial f } { \partial y } \right| _ { ( 4,1,2 ) } = 320$

Question

Calculate the values of $\frac { \partial f } { \partial x }$ , $\frac { \partial f } { \partial y }$ , and $\frac { \partial f } { \partial z }$ at $( 4,1,2 )$ .   $f ( x , y , z ) = \frac { 320 z } { 7 + y ^ { 0.6 } }$  
A) $\left. \frac { \partial f } { \partial x } \right| _ { ( 4,1,2 ) } = 6$ , $\left. \frac { \partial f } { \partial y } \right| _ { ( 4,1,2 ) } = 0$ , $\left. \frac { \partial f } { \partial y } \right| _ { ( 4,1,2 ) } = 0$
B) $\left. \frac { \partial f } { \partial x } \right| _ { ( 4,1,2 ) } = 0$ , $\left. \frac { \partial f } { \partial y } \right| _ { ( 4,1,2 ) } = - 6$ , $\left. \frac { \partial f } { \partial y } \right| _ { ( 4,1,2 ) } = 40$
C) $\left. \frac { \partial f } { \partial x } \right| _ { ( 4,1,2 ) } = - 40$ , $\left. \frac { \partial f } { \partial y } \right| _ { ( 4,1,2 ) } = 6$ , $\left. \frac { \partial f } { \partial y } \right| _ { ( 4,1,2 ) } = 0$
D) $\left. \frac { \partial f } { \partial x } \right| _ { ( 4,1,2 ) } = 0$ , $\left. \frac { \partial f } { \partial y } \right| _ { ( 4,1,2 ) } = 40$ , $\left. \frac { \partial f } { \partial y } \right| _ { ( 4,1,2 ) } = 6$
E) $\left. \frac { \partial f } { \partial x } \right| _ { ( 4,1,2 ) } = 0$ , $\left. \frac { \partial f } { \partial y } \right| _ { ( 4,1,2 ) } = - 6$ , $\left. \frac { \partial f } { \partial y } \right| _ { ( 4,1,2 ) } = 320$

Quizplus · Accepted Answer

The Answer of Calculate the values of $\frac { \partial f } { \partial x }$ , $\frac { \partial f } { \partial y }$ , and $\frac { \partial f } { \partial z }$ at $( 4,1,2 )$ .   $f ( x , y , z ) = \frac { 320 z } { 7 + y ^ { 0.6 } }$  
A) $\left. \frac { \partial f } { \partial x } \right| _ { ( 4,1,2 ) } = 6$ , $\left. \frac { \partial f } { \partial y } \right| _ { ( 4,1,2 ) } = 0$ , $\left. \frac { \partial f } { \partial y } \right| _ { ( 4,1,2 ) } = 0$
B) $\left. \frac { \partial f } { \partial x } \right| _ { ( 4,1,2 ) } = 0$ , $\left. \frac { \partial f } { \partial y } \right| _ { ( 4,1,2 ) } = - 6$ , $\left. \frac { \partial f } { \partial y } \right| _ { ( 4,1,2 ) } = 40$
C) $\left. \frac { \partial f } { \partial x } \right| _ { ( 4,1,2 ) } = - 40$ , $\left. \frac { \partial f } { \partial y } \right| _ { ( 4,1,2 ) } = 6$ , $\left. \frac { \partial f } { \partial y } \right| _ { ( 4,1,2 ) } = 0$
D) $\left. \frac { \partial f } { \partial x } \right| _ { ( 4,1,2 ) } = 0$ , $\left. \frac { \partial f } { \partial y } \right| _ { ( 4,1,2 ) } = 40$ , $\left. \frac { \partial f } { \partial y } \right| _ { ( 4,1,2 ) } = 6$
E) $\left. \frac { \partial f } { \partial x } \right| _ { ( 4,1,2 ) } = 0$ , $\left. \frac { \partial f } { \partial y } \right| _ { ( 4,1,2 ) } = - 6$ , $\left. \frac { \partial f } { \partial y } \right| _ { ( 4,1,2 ) } = 320$

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