Find an Equation of the Tangent Plane to the Surface $\sqrt { x } + \sqrt { y } + \sqrt { z } = 4$

Multiple Choice

Find an equation of the tangent plane to the surface $\sqrt { x } + \sqrt { y } + \sqrt { z } = 4$ at the point $( 4,1,1 )$ .

A) $2 x + y - z = 1$

B) $x + 2 y + 3 z = 9$
C) $x - 2 y + 4 z = 0$
D) $4 x - y + 6 z = 1$
E) $x + 2 y + 2 z = 8$
F) $3 x + 2 y + z = 1$

G) $x + y + z = 6$

H) $2 x + y + z = 10$