Calculate the Values Of $\frac { \partial f } { \partial x }$

Calculate the values of $\frac { \partial f } { \partial x }$ , $\frac { \partial f } { \partial y }$ , and $\frac { \partial f } { \partial z }$ at $( 8,3,4 )$ . $f ( x , y , z ) = x y z$

A) $\left. \frac { \partial f } { \partial x } \right| _ { ( 8,3,4 ) } = 12$ , $\left. \frac { \partial f } { \partial y } \right| _ { ( 8,3,4 ) } = 32$ , $\left. \frac { \partial f } { \partial y } \right| _ { ( 8,3,4 ) } = 0$
B) $\left. \frac { \partial f } { \partial x } \right| _ { ( 8,3,4 ) } = 24$ , $\left. \frac { \partial f } { \partial y } \right| _ { ( 8,3,4 ) } = 32$ , $\left. \frac { \partial f } { \partial y } \right| _ { ( 8,3,4 ) } = 12$
C) $\left. \frac { \partial f } { \partial x } \right| _ { ( 8,3,4 ) } = 12$ , $\left. \frac { \partial f } { \partial y } \right| _ { ( 8,3,4 ) } = 24$ , $\left. \frac { \partial f } { \partial y } \right| _ { ( 8,3,4 ) } = 32$
D) $\left. \frac { \partial f } { \partial x } \right| _ { ( 8,3,4 ) } = 12$ , $\left. \frac { \partial f } { \partial y } \right| _ { ( 8,3,4 ) } = 32$ , $\left. \frac { \partial f } { \partial y } \right| _ { ( 8,3,4 ) } = 24$
E) $\left. \frac { \partial f } { \partial x } \right| _ { ( 8,3,4 ) } = 32$ , $\left. \frac { \partial f } { \partial y } \right| _ { ( 8,3,4 ) } = 12$ , $\left. \frac { \partial f } { \partial y } \right| _ { ( 8,3,4 ) } = 24$

Correct Answer:

Verified

Show Answer