Solve the Problem $f ( x , y , z ) = \ln ( - 7 x + 10 y + 9 z )$

Multiple Choice

Solve the problem.
-About how much will $f ( x , y , z ) = \ln ( - 7 x + 10 y + 9 z )$ change if the point $( x , y , z )$ moves from $( - 1 , - 8,3 )$ a distance of $\mathrm { ds } = \frac { 1 } { 10 }$ unit in the direction of $12 \mathbf { i } + 3 \mathbf { j } + 4 \mathbf { k }$ ?

A) $- \frac { 1 } { 2990 }$
B) $\frac { 7 } { 1495 }$
C) $\frac { 2 } { 1495 }$
D) $\frac { 9 } { 2990 }$