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

question 134

Multiple Choice

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) \(\left. \frac { \partial f } { \partial x } \right| _ { ( 4,1,2 ) } = 0\) , \(\left. \frac { \partial f } { \partial y } \right| _ { ( 4,1,2 ) } = - 6\) , \(\left. \frac { \partial f } { \partial y } \right| _ { ( 4,1,2 ) } = 320\)