Compute the Gradient of the Function at the Given Point $f ( x , y , z ) = - 7 x - 7 y - 6 z , \quad ( 3 , - 8,5 )$

Multiple Choice

Compute the gradient of the function at the given point.
- $f ( x , y , z ) = - 7 x - 7 y - 6 z , \quad ( 3 , - 8,5 )$

A) ${\nabla} f = - 7 \mathbf { i } - 7 \mathbf { j } - 6 \mathbf { k }$
B) ${\nabla} f = - 21 \mathbf { i } - 56 \mathbf { j } - 30 \mathbf { k }$
C) ${\nabla} f = \mathbf { i } - 8 \mathbf { j } + 5 \mathbf { k }$
D) ${\nabla} f = - 21 \mathbf { i } + 56 \mathbf { j } - 30 \mathbf { k }$