An Equation of the Tangent Plane to the Surface $x ^ { \frac { 2 } { 3 } } + y ^ { \frac { 2 } { 3 } } + z ^ { \frac { 2 } { 3 } } = 14$

Multiple Choice

An equation of the tangent plane to the surface $x ^ { \frac { 2 } { 3 } } + y ^ { \frac { 2 } { 3 } } + z ^ { \frac { 2 } { 3 } } = 14$ at (-8, 27, 1) is

A) $- 3 x + 2 y - 6 z = - 84$
B) $3 x + 2 y + 6 z = - 84$
C) $3 x - 2 y - 6 z = - 84$
D) $3 x + 2 y - 6 z = - 84$
E) $3 x - 2 y + 6 z = - 84$