Find an Equation of the Tangent Plant to the Surface $z = e ^ { x + y }$

Multiple Choice

Find an equation of the tangent plant to the surface $z = e ^ { x + y }$ at the point $( 0,0,1 )$ .

A) $z = x + y + 1$

B) $z = e x + e y - 2 e + 1$
C) $z = 2 x + 2 y + 1$
D) $z = 2 e x + 2 e y - 4 e + 1$
E) $z = 4 x + 4 y - 7$
F) $z = e ^ { 2 } x + e ^ { 2 } y - 2 e ^ { 2 } + 1$

G) $z = 2 e ^ { 2 } x + 2 e ^ { 2 } y - 4 e ^ { 2 } + 1$

H) $z = 4 e x + 4 e y - 8 e + 1$