Let $f ( x , y ) = 2 x e ^ { y } + 3 y e ^ { x }$ . Then the maximum value of the directional derivative $D _ { \mathrm { u } } f ( 0,0 )$ is

A) $4 \sqrt { 13 }$
B) $3 \sqrt { 13 }$
C) $2 \sqrt { 13 }$
D) $\sqrt { 13 }$
E)13

Question

Let $f ( x , y ) = 2 x e ^ { y } + 3 y e ^ { x }$ . Then the maximum value of the directional derivative $D _ { \mathrm { u } } f ( 0,0 )$ is

A) $4 \sqrt { 13 }$
B) $3 \sqrt { 13 }$
C) $2 \sqrt { 13 }$
D) $\sqrt { 13 }$
E)13

Quizplus · Accepted Answer

The Answer of Let $f ( x , y ) = 2 x e ^ { y } + 3 y e ^ { x }$ . Then the maximum value of the directional derivative $D _ { \mathrm { u } } f ( 0,0 )$ is

A) $4 \sqrt { 13 }$
B) $3 \sqrt { 13 }$
C) $2 \sqrt { 13 }$
D) $\sqrt { 13 }$
E)13

Let f(x,y)=2xey+3yexf ( x , y ) = 2 x e ^ { y } + 3 y e ^ { x }f(x,y)=2xey+3yex

Let $f ( x , y ) = 2 x e ^ { y } + 3 y e ^ { x }$